100201102010120 has 32 divisors (see below), whose sum is σ = 230951320490520. Its totient is φ = 39102869076480.

The previous prime is 100201102010117. The next prime is 100201102010143. The reversal of 100201102010120 is 21010201102001.

It can be written as a sum of positive squares in 4 ways, for example, as 21603550753444 + 78597551256676 = 4647962^2 + 8865526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30549114827 + ... + 30549118106.

Almost surely, 2^{100201102010120} is an apocalyptic number.

100201102010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201102010120 is an abundant number, since it is smaller than the sum of its proper divisors (130750218480400).

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

100201102010120 is a wasteful number, since it uses less digits than its factorization.

100201102010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61098232985 (or 61098232981 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100201102010120 its reverse (21010201102001), we get a palindrome (121211303112121).

The spelling of 100201102010120 in words is "one hundred trillion, two hundred one billion, one hundred two million, ten thousand, one hundred twenty".