101122011221 has 24 divisors (see below), whose sum is σ = 127331484672. Its totient is φ = 78608930400.

The previous prime is 101122011203. The next prime is 101122011259. The reversal of 101122011221 is 122110221101.

It is not a de Polignac number, because 101122011221 - 2¹⁴ = 101121994837 is a prime.

It is a super-2 number, since 2×101122011221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122011196 and 101122011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122014221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214796 + ... + 498378.

It is an arithmetic number, because the mean of its divisors is an integer number (5305478528).

Almost surely, 2^101122011221 is an apocalyptic number.

101122011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122011221 is a deficient number, since it is larger than the sum of its proper divisors (26209473451).

101122011221 is a wasteful number, since it uses less digits than its factorization.

101122011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284033 (or 284022 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122011221 its reverse (122110221101), we get a palindrome (223232232322).

The spelling of 101122011221 in words is "one hundred one billion, one hundred twenty-two million, eleven thousand, two hundred twenty-one".