122332102312100 has 36 divisors (see below), whose sum is σ = 266836105904004. Its totient is φ = 48679302881280.

The previous prime is 122332102312097. The next prime is 122332102312109. The reversal of 122332102312100 is 1213201233221.

It can be written as a sum of positive squares in 6 ways, for example, as 4185289456804 + 118146812855296 = 2045798^2 + 10869536^2 .

It is not an unprimeable number, because it can be changed into a prime (122332102312109) 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, 3169206149 + ... + 3169244748.

It is an arithmetic number, because the mean of its divisors is an integer number (7412114052889).

Almost surely, 2^{122332102312100} is an apocalyptic number.

122332102312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122332102312100 is an abundant number, since it is smaller than the sum of its proper divisors (144504003591904).

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

122332102312100 is a wasteful number, since it uses less digits than its factorization.

122332102312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338451104 (or 6338451097 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122332102312100 its reverse (1213201233221), we get a palindrome (123545303545321).

The spelling of 122332102312100 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, one hundred two million, three hundred twelve thousand, one hundred".