100122011101 has 32 divisors (see below), whose sum is σ = 119365632000. Its totient is φ = 83919371760.

The previous prime is 100122011039. The next prime is 100122011107. The reversal of 100122011101 is 101110221001.

It is not a de Polignac number, because 100122011101 - 2²⁹ = 99585140189 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 (100122011107) 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, 3852316 + ... + 3878218.

It is an arithmetic number, because the mean of its divisors is an integer number (3730176000).

Almost surely, 2^100122011101 is an apocalyptic number.

It is an amenable number.

100122011101 is a deficient number, since it is larger than the sum of its proper divisors (19243620899).

100122011101 is an equidigital number, since it uses as much as digits as its factorization.

100122011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26174 (or 26160 counting only the distinct ones).

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

Adding to 100122011101 its reverse (101110221001), we get a palindrome (201232232102).

The spelling of 100122011101 in words is "one hundred billion, one hundred twenty-two million, eleven thousand, one hundred one".