101220112122021 has 12 divisors (see below), whose sum is σ = 148603661877580. Its totient is φ = 66373844014080.

The previous prime is 101220112122011. The next prime is 101220112122043. The reversal of 101220112122021 is 120221211022101.

101220112122021 is a `hidden beast` number, since 101 + 2 + 201 + 121 + 220 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20901126650625 + 80318985471396 = 4571775^2 + 8962086^2 .

It is not a de Polignac number, because 101220112122021 - 2⁹ = 101220112121509 is a prime.

It is a super-2 number, since 2×101220112122021² (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 = 101220112121985 and 101220112122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220112122011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92185893916 + ... + 92185895013.

Almost surely, 2^{101220112122021} is an apocalyptic number.

It is an amenable number.

101220112122021 is a deficient number, since it is larger than the sum of its proper divisors (47383549755559).

101220112122021 is a wasteful number, since it uses less digits than its factorization.

101220112122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184371788996 (or 184371788993 counting only the distinct ones).

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

Adding to 101220112122021 its reverse (120221211022101), we get a palindrome (221441323144122).

The spelling of 101220112122021 in words is "one hundred one trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, twenty-one".