100133232202120 has 32 divisors (see below), whose sum is σ = 242630524183320. Its totient is φ = 36972270351360.

The previous prime is 100133232202103. The next prime is 100133232202123. The reversal of 100133232202120 is 21202232331001.

It can be written as a sum of positive squares in 4 ways, for example, as 65796140236324 + 34337091965796 = 8111482^2 + 5859786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100133232202091 and 100133232202100.

It is not an unprimeable number, because it can be changed into a prime (100133232202123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96281953521 + ... + 96281954560.

Almost surely, 2^{100133232202120} is an apocalyptic number.

100133232202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133232202120 is an abundant number, since it is smaller than the sum of its proper divisors (142497291981200).

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

100133232202120 is a wasteful number, since it uses less digits than its factorization.

100133232202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192563908105 (or 192563908101 counting only the distinct ones).

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

Adding to 100133232202120 its reverse (21202232331001), we get a palindrome (121335464533121).

The spelling of 100133232202120 in words is "one hundred trillion, one hundred thirty-three billion, two hundred thirty-two million, two hundred two thousand, one hundred twenty".