102001110120112 has 40 divisors (see below), whose sum is σ = 226081249516800. Its totient is φ = 43671861763392.

The previous prime is 102001110120089. The next prime is 102001110120121. The reversal of 102001110120112 is 211021011100201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102001110120092 and 102001110120101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446757412 + ... + 446985667.

It is an arithmetic number, because the mean of its divisors is an integer number (5652031237920).

Almost surely, 2^{102001110120112} is an apocalyptic number.

It is an amenable number.

102001110120112 is an abundant number, since it is smaller than the sum of its proper divisors (124080139396688).

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

102001110120112 is a wasteful number, since it uses less digits than its factorization.

102001110120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893744113 (or 893744107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102001110120112 its reverse (211021011100201), we get a palindrome (313022121220313).

The spelling of 102001110120112 in words is "one hundred two trillion, one billion, one hundred ten million, one hundred twenty thousand, one hundred twelve".