100012220101 has 16 divisors (see below), whose sum is σ = 102563797248. Its totient is φ = 97492824000.

The previous prime is 100012220041. The next prime is 100012220117. The reversal of 100012220101 is 101022210001.

It is a cyclic number.

It is not a de Polignac number, because 100012220101 - 2³⁵ = 65652481733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012220171) 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 15 ways as a sum of consecutive naturals, for example, 22619871 + ... + 22624291.

It is an arithmetic number, because the mean of its divisors is an integer number (6410237328).

Almost surely, 2^100012220101 is an apocalyptic number.

It is an amenable number.

100012220101 is a deficient number, since it is larger than the sum of its proper divisors (2551577147).

100012220101 is a wasteful number, since it uses less digits than its factorization.

100012220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7932.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100012220101 its reverse (101022210001), we get a palindrome (201034430102).

The spelling of 100012220101 in words is "one hundred billion, twelve million, two hundred twenty thousand, one hundred one".