102100031332200 has 288 divisors, whose sum is σ = 377913656352960. Its totient is φ = 24496351948800.

The previous prime is 102100031332177. The next prime is 102100031332213. The reversal of 102100031332200 is 2233130001201.

102100031332200 is a `hidden beast` number, since 1 + 0 + 2 + 100 + 0 + 31 + 332 + 200 = 666.

It is a super-3 number, since 3×102100031332200³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24659644 + ... + 28500843.

It is an arithmetic number, because the mean of its divisors is an integer number (1312200195670).

Almost surely, 2^{102100031332200} is an apocalyptic number.

102100031332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100031332200 is an abundant number, since it is smaller than the sum of its proper divisors (275813625020760).

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

102100031332200 is a wasteful number, since it uses less digits than its factorization.

102100031332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53160617 (or 53160605 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102100031332200 its reverse (2233130001201), we get a palindrome (104333161333401).

The spelling of 102100031332200 in words is "one hundred two trillion, one hundred billion, thirty-one million, three hundred thirty-two thousand, two hundred".