102132221133012 has 96 divisors (see below), whose sum is σ = 279037625180160. Its totient is φ = 28464596570880.

The previous prime is 102132221132999. The next prime is 102132221133023. The reversal of 102132221133012 is 210331122231201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20510289 + ... + 24998727.

It is an arithmetic number, because the mean of its divisors is an integer number (2906641928960).

Almost surely, 2^{102132221133012} is an apocalyptic number.

102132221133012 is a gapful number since it is divisible by the number (12) 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 102132221133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139518812590080).

102132221133012 is an abundant number, since it is smaller than the sum of its proper divisors (176905404047148).

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

102132221133012 is a wasteful number, since it uses less digits than its factorization.

102132221133012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495101 (or 4495099 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102132221133012 its reverse (210331122231201), we get a palindrome (312463343364213).

The spelling of 102132221133012 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-one million, one hundred thirty-three thousand, twelve".