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2021201000100 = 2233524571638059
BaseRepresentation
bin11101011010011000111…
…101111011011010100100
321011020001222021020122000
4131122120331323122210
5231103404424000400
64144305452005300
7266012150014002
oct35323075733244
97136058236560
102021201000100
1170a2062a9a77
12287880160830
131187a19c3749
146db80485a72
15378993d0600
hex1d698f7b6a4

2021201000100 has 144 divisors (see below), whose sum is σ = 6512009246400. Its totient is φ = 537807202560.

The previous prime is 2021201000033. The next prime is 2021201000149. The reversal of 2021201000100 is 10001021202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414871 + ... + 2052929.

Almost surely, 22021201000100 is an apocalyptic number.

2021201000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021201000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256004623200).

2021201000100 is an abundant number, since it is smaller than the sum of its proper divisors (4490808246300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2021201000100 is a wasteful number, since it uses less digits than its factorization.

2021201000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638539 (or 1638526 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2021201000100 its reverse (10001021202), we get a palindrome (2031202021302).

The spelling of 2021201000100 in words is "two trillion, twenty-one billion, two hundred one million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 457 540 675 900 914 1350 1371 1828 2285 2700 2742 4113 4570 5484 6855 8226 9140 11425 12339 13710 16452 20565 22850 24678 27420 34275 41130 45700 49356 61695 68550 82260 102825 123390 137100 205650 246780 308475 411300 616950 1233900 1638059 3276118 4914177 6552236 8190295 9828354 14742531 16380590 19656708 24570885 29485062 32761180 40951475 44227593 49141770 58970124 73712655 81902950 88455186 98283540 122854425 147425310 163805900 176910372 221137965 245708850 294850620 368563275 442275930 491417700 737126550 748592963 884551860 1105689825 1474253100 1497185926 2211379650 2245778889 2994371852 3742964815 4422759300 4491557778 6737336667 7485929630 8983115556 11228894445 13474673334 14971859260 18714824075 20212010001 22457788890 26949346668 33686683335 37429648150 40424020002 44915577780 56144472225 67373366670 74859296300 80848040004 101060050005 112288944450 134746733340 168433416675 202120100010 224577888900 336866833350 404240200020 505300250025 673733666700 1010600500050 2021201000100