122223121313100 has 72 divisors (see below), whose sum is σ = 357605626931280. Its totient is φ = 32226620743680.

The previous prime is 122223121313099. The next prime is 122223121313101. The reversal of 122223121313100 is 1313121322221.

It is an interprime number because it is at equal distance from previous prime (122223121313099) and next prime (122223121313101).

It is a super-2 number, since 2×122223121313100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122223121313101) 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, 2288795797 + ... + 2288849196.

It is an arithmetic number, because the mean of its divisors is an integer number (4966744818490).

Almost surely, 2^{122223121313100} is an apocalyptic number.

122223121313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122223121313100 is an abundant number, since it is smaller than the sum of its proper divisors (235382505618180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122223121313100 is a wasteful number, since it uses less digits than its factorization.

122223121313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577645099 (or 4577645092 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 122223121313100 its reverse (1313121322221), we get a palindrome (123536242635321).

The spelling of 122223121313100 in words is "one hundred twenty-two trillion, two hundred twenty-three billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred".