100010001100120 has 64 divisors (see below), whose sum is σ = 225261780710400. Its totient is φ = 39961475635200.

The previous prime is 100010001100063. The next prime is 100010001100133. The reversal of 100010001100120 is 21001100010001.

It is a super-2 number, since 2×100010001100120² (a number of 29 digits) contains 22 as substring.

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, 239613852 + ... + 240030868.

It is an arithmetic number, because the mean of its divisors is an integer number (3519715323600).

Almost surely, 2^{100010001100120} is an apocalyptic number.

100010001100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010001100120 is an abundant number, since it is smaller than the sum of its proper divisors (125251779610280).

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

100010001100120 is a wasteful number, since it uses less digits than its factorization.

100010001100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423388 (or 423384 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100010001100120 its reverse (21001100010001), we get a palindrome (121011101110121).

The spelling of 100010001100120 in words is "one hundred trillion, ten billion, one million, one hundred thousand, one hundred twenty".