122542103404100 has 36 divisors (see below), whose sum is σ = 265921296028500. Its totient is φ = 49015932303360.

The previous prime is 122542103404027. The next prime is 122542103404103. The reversal of 122542103404100 is 1404301245221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 955666566724 + 121586436837376 = 977582^2 + 11026624^2 .

It is a super-2 number, since 2×122542103404100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122542103404103) 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, 5931305 + ... + 16741104.

Almost surely, 2^{122542103404100} is an apocalyptic number.

122542103404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122542103404100 is an abundant number, since it is smaller than the sum of its proper divisors (143379192624400).

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

122542103404100 is a wasteful number, since it uses less digits than its factorization.

122542103404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22726472 (or 22726465 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 122542103404100 its reverse (1404301245221), we get a palindrome (123946404649321).

The spelling of 122542103404100 in words is "one hundred twenty-two trillion, five hundred forty-two billion, one hundred three million, four hundred four thousand, one hundred".