102011131303110 has 96 divisors (see below), whose sum is σ = 285681112104960. Its totient is φ = 25171902149184.

The previous prime is 102011131303099. The next prime is 102011131303111. The reversal of 102011131303110 is 11303131110201.

102011131303110 is a `hidden beast` number, since 10 + 20 + 1 + 11 + 313 + 0 + 311 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011131303111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693596614 + ... + 693743673.

It is an arithmetic number, because the mean of its divisors is an integer number (2975844917760).

Almost surely, 2^{102011131303110} is an apocalyptic number.

102011131303110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102011131303110 is an abundant number, since it is smaller than the sum of its proper divisors (183669980801850).

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

102011131303110 is a wasteful number, since it uses less digits than its factorization.

102011131303110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387340362 (or 1387340359 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 102011131303110 its reverse (11303131110201), we get a palindrome (113314262413311).

The spelling of 102011131303110 in words is "one hundred two trillion, eleven billion, one hundred thirty-one million, three hundred three thousand, one hundred ten".