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101201021100 = 223252139808961
BaseRepresentation
bin101111001000000001…
…1010000100010101100
3100200012212120112110200
41132100003100202230
53124224430133400
6114254025033500
710211566325514
oct1362003204254
9320185515420
10101201021100
1139a1237a023
1217744025890
13970a5a090a
144c80778844
1529748c7b00
hex17900d08ac

101201021100 has 108 divisors (see below), whose sum is σ = 319491452280. Its totient is φ = 26792755200.

The previous prime is 101201021081. The next prime is 101201021101. The reversal of 101201021100 is 1120102101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101201021101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 279381 + ... + 529580.

Almost surely, 2101201021100 is an apocalyptic number.

101201021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201021100 is an abundant number, since it is smaller than the sum of its proper divisors (218290431180).

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

101201021100 is a wasteful number, since it uses less digits than its factorization.

101201021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809120 (or 809110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101201021100 its reverse (1120102101), we get a palindrome (102321123201).

The spelling of 101201021100 in words is "one hundred one billion, two hundred one million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 139 150 180 225 278 300 417 450 556 695 834 900 1251 1390 1668 2085 2502 2780 3475 4170 5004 6255 6950 8340 10425 12510 13900 20850 25020 31275 41700 62550 125100 808961 1617922 2426883 3235844 4044805 4853766 7280649 8089610 9707532 12134415 14561298 16179220 20224025 24268830 29122596 36403245 40448050 48537660 60672075 72806490 80896100 112445579 121344150 145612980 182016225 224891158 242688300 337336737 364032450 449782316 562227895 674673474 728064900 1012010211 1124455790 1349346948 1686683685 2024020422 2248911580 2811139475 3373367370 4048040844 5060051055 5622278950 6746734740 8433418425 10120102110 11244557900 16866836850 20240204220 25300255275 33733673700 50600510550 101201021100