102100211121000 has 64 divisors (see below), whose sum is σ = 318552658706880. Its totient is φ = 27226722964800.

The previous prime is 102100211120959. The next prime is 102100211121019. The reversal of 102100211121000 is 121112001201.

It is a super-2 number, since 2×102100211121000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17016698854 + ... + 17016704853.

It is an arithmetic number, because the mean of its divisors is an integer number (4977385292295).

Almost surely, 2^{102100211121000} is an apocalyptic number.

102100211121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100211121000 is an abundant number, since it is smaller than the sum of its proper divisors (216452447585880).

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

102100211121000 is a wasteful number, since it uses less digits than its factorization.

102100211121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34033403731 (or 34033403717 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102100211121000 its reverse (121112001201), we get a palindrome (102221323122201).

The spelling of 102100211121000 in words is "one hundred two trillion, one hundred billion, two hundred eleven million, one hundred twenty-one thousand".