101122112220021 has 24 divisors (see below), whose sum is σ = 146248236636320. Its totient is φ = 67330339930656.

The previous prime is 101122112220011. The next prime is 101122112220043. The reversal of 101122112220021 is 120022211221101.

101122112220021 is a `hidden beast` number, since 101 + 1 + 221 + 122 + 200 + 21 = 666.

It is not a de Polignac number, because 101122112220021 - 2⁹ = 101122112219509 is a prime.

It is a super-2 number, since 2×101122112220021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122112219976 and 101122112220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122112220011) 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 23 ways as a sum of consecutive naturals, for example, 26384250 + ... + 29972868.

Almost surely, 2^{101122112220021} is an apocalyptic number.

It is an amenable number.

101122112220021 is a deficient number, since it is larger than the sum of its proper divisors (45126124416299).

101122112220021 is a wasteful number, since it uses less digits than its factorization.

101122112220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592545 (or 3592542 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101122112220021 its reverse (120022211221101), we get a palindrome (221144323441122).

The spelling of 101122112220021 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty thousand, twenty-one".