100132213122032 has 80 divisors (see below), whose sum is σ = 238873378000320. Its totient is φ = 39596724135936.

The previous prime is 100132213121981. The next prime is 100132213122077. The reversal of 100132213122032 is 230221312231001.

It is a junction number, because it is equal to n+sod(n) for n = 100132213121989 and 100132213122007.

It is a congruent number.

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, 10303907 + ... + 17505282.

It is an arithmetic number, because the mean of its divisors is an integer number (2985917225004).

Almost surely, 2^{100132213122032} is an apocalyptic number.

It is an amenable number.

100132213122032 is an abundant number, since it is smaller than the sum of its proper divisors (138741164878288).

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

100132213122032 is a wasteful number, since it uses less digits than its factorization.

100132213122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27811690 (or 27811684 counting only the distinct ones).

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

Adding to 100132213122032 its reverse (230221312231001), we get a palindrome (330353525353033).

The spelling of 100132213122032 in words is "one hundred trillion, one hundred thirty-two billion, two hundred thirteen million, one hundred twenty-two thousand, thirty-two".