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101212011000212 = 22731463701335911
BaseRepresentation
bin10111000000110101000001…
…111101100111000110010100
3111021100202220001211200001212
4113000311001331213012110
5101231224144304001322
6555132053404440552
730214216661515520
oct2700650175470624
9437322801750055
10101212011000212
112a281855688522
12b427695849158
134462336c47368
141adc98a5bcd80
15ba7b53ba00e2
hex5c0d41f67194

101212011000212 has 96 divisors (see below), whose sum is σ = 209440824950784. Its totient is φ = 41879529014400.

The previous prime is 101212011000101. The next prime is 101212011000229. The reversal of 101212011000212 is 212000110212101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 2818394537 + ... + 2818430447.

It is an arithmetic number, because the mean of its divisors is an integer number (2181675259904).

Almost surely, 2101212011000212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212011000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104720412475392).

101212011000212 is an abundant number, since it is smaller than the sum of its proper divisors (108228813950572).

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

101212011000212 is a wasteful number, since it uses less digits than its factorization.

101212011000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43429 (or 43427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101212011000212 its reverse (212000110212101), we get a palindrome (313212121212313).

The spelling of 101212011000212 in words is "one hundred one trillion, two hundred twelve billion, eleven million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 31 62 124 217 434 463 868 926 1852 3241 6482 7013 12964 14026 14353 28052 28706 35911 49091 57412 71822 98182 100471 143644 196364 200942 217403 251377 401884 434806 502754 869612 1005508 1113241 1521821 2226482 3043642 3247019 4452964 6087284 6494038 7792687 12988076 15585374 16626793 22729133 31170748 33253586 45458266 66507172 90916532 100657589 116387551 201315178 232775102 251843843 402630356 465550204 503687686 515430583 704603123 1007375372 1030861166 1409206246 1762906901 2061722332 2818412492 3525813802 3608014081 7051627604 7216028162 7807159133 14432056324 15614318266 31228636532 54650113931 109300227862 116603699309 218600455724 233207398618 466414797236 816225895163 1632451790326 3264903580652 3614714678579 7229429357158 14458858714316 25303002750053 50606005500106 101212011000212