100122201220201 has 16 divisors (see below), whose sum is σ = 104802223167360. Its totient is φ = 95469722092800.

The previous prime is 100122201220177. The next prime is 100122201220219. The reversal of 100122201220201 is 102022102221001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100122201220201 - 2³⁵ = 100087841481833 is a prime.

It is a super-2 number, since 2×100122201220201² (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 (100122201223201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11125591 + ... + 18000643.

It is an arithmetic number, because the mean of its divisors is an integer number (6550138947960).

Almost surely, 2^{100122201220201} is an apocalyptic number.

It is an amenable number.

100122201220201 is a deficient number, since it is larger than the sum of its proper divisors (4680021947159).

100122201220201 is a wasteful number, since it uses less digits than its factorization.

100122201220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877056.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100122201220201 its reverse (102022102221001), we get a palindrome (202144303441202).

The spelling of 100122201220201 in words is "one hundred trillion, one hundred twenty-two billion, two hundred one million, two hundred twenty thousand, two hundred one".