102001122011120 has 40 divisors (see below), whose sum is σ = 239500654325280. Its totient is φ = 40396483961600.

The previous prime is 102001122011119. The next prime is 102001122011153. The reversal of 102001122011120 is 21110221100201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 102001122011095 and 102001122011104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6311942540 + ... + 6311958699.

It is an arithmetic number, because the mean of its divisors is an integer number (5987516358132).

Almost surely, 2^{102001122011120} is an apocalyptic number.

102001122011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001122011120 is an abundant number, since it is smaller than the sum of its proper divisors (137499532314160).

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

102001122011120 is a wasteful number, since it uses less digits than its factorization.

102001122011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12623901353 (or 12623901347 counting only the distinct ones).

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

Adding to 102001122011120 its reverse (21110221100201), we get a palindrome (123111343111321).

The spelling of 102001122011120 in words is "one hundred two trillion, one billion, one hundred twenty-two million, eleven thousand, one hundred twenty".