100120402021313 has 16 divisors (see below), whose sum is σ = 106422091576320. Its totient is φ = 93922087568976.

The previous prime is 100120402021307. The next prime is 100120402021331. The reversal of 100120402021313 is 313120204021001.

It is a cyclic number.

It is not a de Polignac number, because 100120402021313 - 2⁶ = 100120402021249 is a prime.

It is a super-2 number, since 2×100120402021313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120402021333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21068156 + ... + 25379282.

It is an arithmetic number, because the mean of its divisors is an integer number (6651380723520).

Almost surely, 2^{100120402021313} is an apocalyptic number.

It is an amenable number.

100120402021313 is a deficient number, since it is larger than the sum of its proper divisors (6301689555007).

100120402021313 is a wasteful number, since it uses less digits than its factorization.

100120402021313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323116.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100120402021313 its reverse (313120204021001), we get a palindrome (413240606042314).

The spelling of 100120402021313 in words is "one hundred trillion, one hundred twenty billion, four hundred two million, twenty-one thousand, three hundred thirteen".