10122133323132 has 72 divisors (see below), whose sum is σ = 26917420748400. Its totient is φ = 3202482839808.

The previous prime is 10122133323101. The next prime is 10122133323227. The reversal of 10122133323132 is 23132333122101.

10122133323132 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 13 + 332 + 313 + 2 = 666.

It is a super-2 number, since 2×10122133323132² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122133323096 and 10122133323105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82103913 + ... + 82227104.

It is an arithmetic number, because the mean of its divisors is an integer number (373853065950).

Almost surely, 2^{10122133323132} is an apocalyptic number.

10122133323132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122133323132 is an abundant number, since it is smaller than the sum of its proper divisors (16795287425268).

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

10122133323132 is a wasteful number, since it uses less digits than its factorization.

10122133323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164331115 (or 164331110 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10122133323132 its reverse (23132333122101), we get a palindrome (33254466445233).

The spelling of 10122133323132 in words is "ten trillion, one hundred twenty-two billion, one hundred thirty-three million, three hundred twenty-three thousand, one hundred thirty-two".