100120010011021 has 48 divisors (see below), whose sum is σ = 141241132021248. Its totient is φ = 69691347734400.

The previous prime is 100120010011001. The next prime is 100120010011027. The reversal of 100120010011021 is 120110010021001.

It is a de Polignac number, because none of the positive numbers 2^k-100120010011021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120010010989 and 100120010011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120010011027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230243590 + ... + 230678023.

It is an arithmetic number, because the mean of its divisors is an integer number (2942523583776).

Almost surely, 2^{100120010011021} is an apocalyptic number.

100120010011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100120010011021 is a deficient number, since it is larger than the sum of its proper divisors (41121122010227).

100120010011021 is a wasteful number, since it uses less digits than its factorization.

100120010011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460921682 (or 460921675 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100120010011021 its reverse (120110010021001), we get a palindrome (220230020032022).

The spelling of 100120010011021 in words is "one hundred trillion, one hundred twenty billion, ten million, eleven thousand, twenty-one".