122133122330100 has 144 divisors (see below), whose sum is σ = 417779508316800. Its totient is φ = 26953516638720.

The previous prime is 122133122330053. The next prime is 122133122330101. The reversal of 122133122330100 is 1033221331221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133122330101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002674095 + ... + 1002795894.

Almost surely, 2^{122133122330100} is an apocalyptic number.

122133122330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133122330100 is an abundant number, since it is smaller than the sum of its proper divisors (295646385986700).

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

122133122330100 is a wasteful number, since it uses less digits than its factorization.

122133122330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005470042 (or 2005470035 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122133122330100 its reverse (1033221331221), we get a palindrome (123166343661321).

The spelling of 122133122330100 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred thirty thousand, one hundred".