102131243200 has 168 divisors, whose sum is σ = 289895231232. Its totient is φ = 34688762880.

The previous prime is 102131243197. The next prime is 102131243209. The reversal of 102131243200 is 2342131201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102131243209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155789 + ... + 1241011.

Almost surely, 2^102131243200 is an apocalyptic number.

102131243200 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 102131243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144947615616).

102131243200 is an abundant number, since it is smaller than the sum of its proper divisors (187763988032).

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

102131243200 is a wasteful number, since it uses less digits than its factorization.

102131243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85359 (or 85344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102131243200 its reverse (2342131201), we get a palindrome (104473374401).

The spelling of 102131243200 in words is "one hundred two billion, one hundred thirty-one million, two hundred forty-three thousand, two hundred".