102131233323210 has 1536 divisors, whose sum is σ = 356828671180800. Its totient is φ = 20228040990720.

The previous prime is 102131233323059. The next prime is 102131233323221. The reversal of 102131233323210 is 12323332131201.

102131233323210 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 1 + 2 + 3 + 332 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 142046221231 + ... + 142046221949.

It is an arithmetic number, because the mean of its divisors is an integer number (232310332800).

Almost surely, 2^{102131233323210} is an apocalyptic number.

102131233323210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102131233323210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178414335590400).

102131233323210 is an abundant number, since it is smaller than the sum of its proper divisors (254697437857590).

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

102131233323210 is a wasteful number, since it uses less digits than its factorization.

102131233323210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102131233323210 its reverse (12323332131201), we get a palindrome (114454565454411).

The spelling of 102131233323210 in words is "one hundred two trillion, one hundred thirty-one billion, two hundred thirty-three million, three hundred twenty-three thousand, two hundred ten".