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100221012002020 = 225713162133970691
BaseRepresentation
bin10110110010011010000101…
…110100011100010011100100
3111010212000221122101111211011
4112302122011310130103210
5101114010113033031040
6553052521452552004
730052505051152330
oct2662320564342344
9433760848344734
10100221012002020
1129a2a5465784a8
12b2a7606182604
1343bca546bcac0
141aa6a1976c7c0
15b8bea27623ea
hex5b2685d1c4e4

100221012002020 has 96 divisors (see below), whose sum is σ = 259192575242496. Its totient is φ = 31698730252800.

The previous prime is 100221012001909. The next prime is 100221012002053. The reversal of 100221012002020 is 20200210122001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14035126 + ... + 19935565.

It is an arithmetic number, because the mean of its divisors is an integer number (2699922658776).

Almost surely, 2100221012002020 is an apocalyptic number.

100221012002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221012002020 is an abundant number, since it is smaller than the sum of its proper divisors (158971563240476).

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

100221012002020 is a wasteful number, since it uses less digits than its factorization.

100221012002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33972341 (or 33972339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100221012002020 its reverse (20200210122001), we get a palindrome (120421222124021).

The spelling of 100221012002020 in words is "one hundred trillion, two hundred twenty-one billion, twelve million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1621 1820 3242 6484 8105 11347 16210 21073 22694 32420 42146 45388 56735 84292 105365 113470 147511 210730 226940 295022 421460 590044 737555 1475110 2950220 33970691 67941382 135882764 169853455 237794837 339706910 441618983 475589674 679413820 883237966 951179348 1188974185 1766475932 2208094915 2377948370 3091332881 4416189830 4755896740 6182665762 8832379660 12365331524 15456664405 30913328810 55066490111 61826657620 110132980222 220265960444 275332450555 385465430777 550664901110 715864371443 770930861554 1101329802220 1431728742886 1541861723108 1927327153885 2863457485772 3579321857215 3854654307770 5011050600101 7158643714430 7709308615540 10022101200202 14317287428860 20044202400404 25055253000505 50110506001010 100221012002020