101122212321 has 32 divisors (see below), whose sum is σ = 168349144320. Its totient is φ = 59523437952.

The previous prime is 101122212287. The next prime is 101122212329. The reversal of 101122212321 is 123212221101.

101122212321 is a `hidden beast` number, since 10 + 1 + 122 + 212 + 321 = 666.

It is not a de Polignac number, because 101122212321 - 2²⁷ = 100987994593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122212294 and 101122212303.

It is not an unprimeable number, because it can be changed into a prime (101122212329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6254916 + ... + 6271061.

It is an arithmetic number, because the mean of its divisors is an integer number (5260910760).

Almost surely, 2^101122212321 is an apocalyptic number.

It is an amenable number.

101122212321 is a deficient number, since it is larger than the sum of its proper divisors (67226931999).

101122212321 is a wasteful number, since it uses less digits than its factorization.

101122212321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12526022 (or 12526016 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101122212321 its reverse (123212221101), we get a palindrome (224334433422).

The spelling of 101122212321 in words is "one hundred one billion, one hundred twenty-two million, two hundred twelve thousand, three hundred twenty-one".