20101122220101 has 128 divisors (see below), whose sum is σ = 30431035514880. Its totient is φ = 11719078963200.

The previous prime is 20101122220061. The next prime is 20101122220141. The reversal of 20101122220101 is 10102222110102.

It is an interprime number because it is at equal distance from previous prime (20101122220061) and next prime (20101122220141).

It is not a de Polignac number, because 20101122220101 - 2²¹ = 20101120122949 is a prime.

It is a super-2 number, since 2×20101122220101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101122220141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12279243055 + ... + 12279244691.

It is an arithmetic number, because the mean of its divisors is an integer number (237742464960).

Almost surely, 2^{20101122220101} is an apocalyptic number.

It is an amenable number.

20101122220101 is a deficient number, since it is larger than the sum of its proper divisors (10329913294779).

20101122220101 is a wasteful number, since it uses less digits than its factorization.

20101122220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20101122220101 its reverse (10102222110102), we get a palindrome (30203344330203).

The spelling of 20101122220101 in words is "twenty trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".