100101000022121 has 32 divisors (see below), whose sum is σ = 117820071936000. Its totient is φ = 83277809505792.

The previous prime is 100101000022109. The next prime is 100101000022189. The reversal of 100101000022121 is 121220000101001.

It is a cyclic number.

It is not a de Polignac number, because 100101000022121 - 2⁶ = 100101000022057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101000025121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13803800 + ... + 19767318.

It is an arithmetic number, because the mean of its divisors is an integer number (3681877248000).

Almost surely, 2^{100101000022121} is an apocalyptic number.

It is an amenable number.

100101000022121 is a deficient number, since it is larger than the sum of its proper divisors (17719071913879).

100101000022121 is an equidigital number, since it uses as much as digits as its factorization.

100101000022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964101.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100101000022121 its reverse (121220000101001), we get a palindrome (221321000123122).

The spelling of 100101000022121 in words is "one hundred trillion, one hundred one billion, twenty-two thousand, one hundred twenty-one".