102000112022112 has 48 divisors (see below), whose sum is σ = 283500311360112. Its totient is φ = 32000035143680.

The previous prime is 102000112022069. The next prime is 102000112022117. The reversal of 102000112022112 is 211220211000201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 102000112022091 and 102000112022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000112022117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31250032689 + ... + 31250035952.

It is an arithmetic number, because the mean of its divisors is an integer number (5906256486669).

Almost surely, 2^{102000112022112} is an apocalyptic number.

102000112022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102000112022112 is an abundant number, since it is smaller than the sum of its proper divisors (181500199338000).

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

102000112022112 is a wasteful number, since it uses less digits than its factorization.

102000112022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62500068671 (or 62500068663 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102000112022112 its reverse (211220211000201), we get a palindrome (313220323022313).

The spelling of 102000112022112 in words is "one hundred two trillion, one hundred twelve million, twenty-two thousand, one hundred twelve".