102001010011100 has 72 divisors (see below), whose sum is σ = 229215484145088. Its totient is φ = 39374345836800.

The previous prime is 102001010011099. The next prime is 102001010011127. The reversal of 102001010011100 is 1110010100201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157426484 + ... + 158073083.

It is an arithmetic number, because the mean of its divisors is an integer number (3183548390904).

Almost surely, 2^{102001010011100} is an apocalyptic number.

102001010011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001010011100 is an abundant number, since it is smaller than the sum of its proper divisors (127214474133988).

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

102001010011100 is a wasteful number, since it uses less digits than its factorization.

102001010011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315499695 (or 315499688 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 102001010011100 its reverse (1110010100201), we get a palindrome (103111020111301).

The spelling of 102001010011100 in words is "one hundred two trillion, one billion, ten million, eleven thousand, one hundred".