102033322122132 has 36 divisors (see below), whose sum is σ = 257918382723456. Its totient is φ = 34010999443920.

The previous prime is 102033322122131. The next prime is 102033322122139. The reversal of 102033322122132 is 231221223330201.

102033322122132 is a `hidden beast` number, since 1 + 0 + 203 + 3 + 32 + 212 + 213 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 102033322122096 and 102033322122105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102033322122131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7438813 + ... + 16105979.

It is an arithmetic number, because the mean of its divisors is an integer number (7164399520096).

Almost surely, 2^{102033322122132} is an apocalyptic number.

102033322122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102033322122132 is an abundant number, since it is smaller than the sum of its proper divisors (155885060601324).

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

102033322122132 is a wasteful number, since it uses less digits than its factorization.

102033322122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8994188 (or 8994183 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102033322122132 its reverse (231221223330201), we get a palindrome (333254545452333).

The spelling of 102033322122132 in words is "one hundred two trillion, thirty-three billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred thirty-two".