100201102201013 has 12 divisors (see below), whose sum is σ = 110138644193760. Its totient is φ = 91091710444680.

The previous prime is 100201102201001. The next prime is 100201102201069. The reversal of 100201102201013 is 310102201102001.

It is not a de Polignac number, because 100201102201013 - 2¹⁸ = 100201101938869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201102201073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102513506 + ... + 103486332.

It is an arithmetic number, because the mean of its divisors is an integer number (9178220349480).

Almost surely, 2^{100201102201013} is an apocalyptic number.

It is an amenable number.

100201102201013 is a deficient number, since it is larger than the sum of its proper divisors (9937541992747).

100201102201013 is an equidigital number, since it uses as much as digits as its factorization.

100201102201013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824088 (or 1824077 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100201102201013 its reverse (310102201102001), we get a palindrome (410303303303014).

The spelling of 100201102201013 in words is "one hundred trillion, two hundred one billion, one hundred two million, two hundred one thousand, thirteen".