102000331112300 has 144 divisors (see below), whose sum is σ = 226691200834560. Its totient is φ = 39818895360000.

The previous prime is 102000331112291. The next prime is 102000331112429. The reversal of 102000331112300 is 3211133000201.

It is a super-2 number, since 2×102000331112300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3984219500 + ... + 3984245100.

It is an arithmetic number, because the mean of its divisors is an integer number (1574244450240).

Almost surely, 2^{102000331112300} is an apocalyptic number.

102000331112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000331112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113345600417280).

102000331112300 is an abundant number, since it is smaller than the sum of its proper divisors (124690869722260).

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

102000331112300 is a wasteful number, since it uses less digits than its factorization.

102000331112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28032 (or 28025 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102000331112300 its reverse (3211133000201), we get a palindrome (105211464112501).

The spelling of 102000331112300 in words is "one hundred two trillion, three hundred thirty-one million, one hundred twelve thousand, three hundred".