101022011111021 has 32 divisors (see below), whose sum is σ = 135690994161408. Its totient is φ = 72634765616640.

The previous prime is 101022011111017. The next prime is 101022011111023. The reversal of 101022011111021 is 120111110220101.

It is a cyclic number.

It is not a de Polignac number, because 101022011111021 - 2² = 101022011111017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022011110987 and 101022011111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022011111023) 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 31 ways as a sum of consecutive naturals, for example, 17174720 + ... + 22293833.

It is an arithmetic number, because the mean of its divisors is an integer number (4240343567544).

Almost surely, 2^{101022011111021} is an apocalyptic number.

101022011111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101022011111021 is a deficient number, since it is larger than the sum of its proper divisors (34668983050387).

101022011111021 is a wasteful number, since it uses less digits than its factorization.

101022011111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39471141.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101022011111021 its reverse (120111110220101), we get a palindrome (221133121331122).

The spelling of 101022011111021 in words is "one hundred one trillion, twenty-two billion, eleven million, one hundred eleven thousand, twenty-one".