100122120021001 has 32 divisors (see below), whose sum is σ = 112776260889600. Its totient is φ = 88194432420864.

The previous prime is 100122120020987. The next prime is 100122120021017. The reversal of 100122120021001 is 100120021221001.

It is a cyclic number.

It is not a de Polignac number, because 100122120021001 - 2⁵ = 100122120020969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122120021041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758153425 + ... + 758285473.

It is an arithmetic number, because the mean of its divisors is an integer number (3524258152800).

Almost surely, 2^{100122120021001} is an apocalyptic number.

It is an amenable number.

100122120021001 is a deficient number, since it is larger than the sum of its proper divisors (12654140868599).

100122120021001 is a wasteful number, since it uses less digits than its factorization.

100122120021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138025.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100122120021001 its reverse (100120021221001), we get a palindrome (200242141242002).

The spelling of 100122120021001 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty million, twenty-one thousand, one".