100020010022101 has 48 divisors (see below), whose sum is σ = 111461985363456. Its totient is φ = 89671341247488.

The previous prime is 100020010022077. The next prime is 100020010022123. The reversal of 100020010022101 is 101220010020001.

It is not a de Polignac number, because 100020010022101 - 2⁵ = 100020010022069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020010022171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2672669476 + ... + 2672706898.

It is an arithmetic number, because the mean of its divisors is an integer number (2322124695072).

Almost surely, 2^{100020010022101} is an apocalyptic number.

It is an amenable number.

100020010022101 is a deficient number, since it is larger than the sum of its proper divisors (11441975341355).

100020010022101 is a wasteful number, since it uses less digits than its factorization.

100020010022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40502 (or 40489 counting only the distinct ones).

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

Adding to 100020010022101 its reverse (101220010020001), we get a palindrome (201240020042102).

The spelling of 100020010022101 in words is "one hundred trillion, twenty billion, ten million, twenty-two thousand, one hundred one".