102111012211120 has 80 divisors (see below), whose sum is σ = 259732752602400. Its totient is φ = 37024883712000.

The previous prime is 102111012211093. The next prime is 102111012211147. The reversal of 102111012211120 is 21112210111201.

It is an interprime number because it is at equal distance from previous prime (102111012211093) and next prime (102111012211147).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102111012211094 and 102111012211103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165932481 + ... + 166546720.

It is an arithmetic number, because the mean of its divisors is an integer number (3246659407530).

Almost surely, 2^{102111012211120} is an apocalyptic number.

102111012211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111012211120 is an abundant number, since it is smaller than the sum of its proper divisors (157621740391280).

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

102111012211120 is a wasteful number, since it uses less digits than its factorization.

102111012211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332479574 (or 332479568 counting only the distinct ones).

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

Adding to 102111012211120 its reverse (21112210111201), we get a palindrome (123223222322321).

The spelling of 102111012211120 in words is "one hundred two trillion, one hundred eleven billion, twelve million, two hundred eleven thousand, one hundred twenty".