100122101111001 has 16 divisors (see below), whose sum is σ = 133737346512000. Its totient is φ = 66627464323968.

The previous prime is 100122101110949. The next prime is 100122101111023. The reversal of 100122101111001 is 100111101221001.

It is not a de Polignac number, because 100122101111001 - 2⁷ = 100122101110873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122101111051) 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, 169677925 + ... + 170266973.

It is an arithmetic number, because the mean of its divisors is an integer number (8358584157000).

Almost surely, 2^{100122101111001} is an apocalyptic number.

It is an amenable number.

100122101111001 is a deficient number, since it is larger than the sum of its proper divisors (33615245400999).

100122101111001 is a wasteful number, since it uses less digits than its factorization.

100122101111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691328.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100122101111001 its reverse (100111101221001), we get a palindrome (200233202332002).

The spelling of 100122101111001 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, one hundred eleven thousand, one".