102032012133220 has 48 divisors (see below), whose sum is σ = 244322809154928. Its totient is φ = 35457278423040.

The previous prime is 102032012133211. The next prime is 102032012133263. The reversal of 102032012133220 is 22331210230201.

It can be written as a sum of positive squares in 8 ways, for example, as 13480411578624 + 88551600554596 = 3671568^2 + 9410186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102032012133191 and 102032012133200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11542078401 + ... + 11542087240.

It is an arithmetic number, because the mean of its divisors is an integer number (5090058524061).

Almost surely, 2^{102032012133220} is an apocalyptic number.

102032012133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032012133220 is an abundant number, since it is smaller than the sum of its proper divisors (142290797021708).

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

102032012133220 is a wasteful number, since it uses less digits than its factorization.

102032012133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23084165680 (or 23084165678 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102032012133220 its reverse (22331210230201), we get a palindrome (124363222363421).

The spelling of 102032012133220 in words is "one hundred two trillion, thirty-two billion, twelve million, one hundred thirty-three thousand, two hundred twenty".