102202133321120 has 288 divisors, whose sum is σ = 313047718643520. Its totient is φ = 31243747368960.

The previous prime is 102202133321111. The next prime is 102202133321213. The reversal of 102202133321120 is 21123331202201.

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, 17647226 + ... + 22711865.

It is an arithmetic number, because the mean of its divisors is an integer number (1086971245290).

Almost surely, 2^{102202133321120} is an apocalyptic number.

102202133321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202133321120 is an abundant number, since it is smaller than the sum of its proper divisors (210845585322400).

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

102202133321120 is a wasteful number, since it uses less digits than its factorization.

102202133321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40359156 (or 40359141 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 102202133321120 its reverse (21123331202201), we get a palindrome (123325464523321).

The spelling of 102202133321120 in words is "one hundred two trillion, two hundred two billion, one hundred thirty-three million, three hundred twenty-one thousand, one hundred twenty".