101122021002121 has 12 divisors (see below), whose sum is σ = 117633491435460. Its totient is φ = 86674726524960.

The previous prime is 101122021002113. The next prime is 101122021002143. The reversal of 101122021002121 is 121200120221101.

It can be written as a sum of positive squares in 2 ways, for example, as 75653203473225 + 25468817528896 = 8697885^2 + 5046664^2 .

It is not a de Polignac number, because 101122021002121 - 2³ = 101122021002113 is a prime.

It is a super-2 number, since 2×101122021002121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122021002095 and 101122021002104.

It is not an unprimeable number, because it can be changed into a prime (101122021002151) 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, 12045306 + ... + 18636883.

It is an arithmetic number, because the mean of its divisors is an integer number (9802790952955).

Almost surely, 2^{101122021002121} is an apocalyptic number.

It is an amenable number.

101122021002121 is a deficient number, since it is larger than the sum of its proper divisors (16511470433339).

101122021002121 is an equidigital number, since it uses as much as digits as its factorization.

101122021002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30749464 (or 30749457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101122021002121 its reverse (121200120221101), we get a palindrome (222322141223222).

The spelling of 101122021002121 in words is "one hundred one trillion, one hundred twenty-two billion, twenty-one million, two thousand, one hundred twenty-one".