122202112120100 has 36 divisors (see below), whose sum is σ = 265206437334468. Its totient is φ = 48875710464000.

The previous prime is 122202112120063. The next prime is 122202112120103. The reversal of 122202112120100 is 1021211202221.

It can be written as a sum of positive squares in 6 ways, for example, as 94440665344 + 122107671454756 = 307312^2 + 11050234^2 .

It is a super-2 number, since 2×122202112120100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122202112120103) 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, 63222941 + ... + 65127140.

It is an arithmetic number, because the mean of its divisors is an integer number (7366845481513).

Almost surely, 2^{122202112120100} is an apocalyptic number.

122202112120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202112120100 is an abundant number, since it is smaller than the sum of its proper divisors (143004325214368).

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

122202112120100 is a wasteful number, since it uses less digits than its factorization.

122202112120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128359616 (or 128359609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122202112120100 its reverse (1021211202221), we get a palindrome (123223323322321).

The spelling of 122202112120100 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred twelve million, one hundred twenty thousand, one hundred".