100010101110120 has 96 divisors (see below), whose sum is σ = 325596144411720. Its totient is φ = 26623139512320.

The previous prime is 100010101109993. The next prime is 100010101110149. The reversal of 100010101110120 is 21011101010001.

It can be written as a sum of positive squares in 4 ways, for example, as 83012835655044 + 16997265455076 = 9111138^2 + 4122774^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 240525241 + ... + 240940680.

Almost surely, 2^{100010101110120} is an apocalyptic number.

100010101110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010101110120 is an abundant number, since it is smaller than the sum of its proper divisors (225586043301600).

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

100010101110120 is a wasteful number, since it uses less digits than its factorization.

100010101110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481466515 (or 481466508 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010101110120 its reverse (21011101010001), we get a palindrome (121021202120121).

The spelling of 100010101110120 in words is "one hundred trillion, ten billion, one hundred one million, one hundred ten thousand, one hundred twenty".