122222121012100 has 36 divisors (see below), whose sum is σ = 266253994880244. Its totient is φ = 48698619412480.

The previous prime is 122222121012067. The next prime is 122222121012109. The reversal of 122222121012100 is 1210121222221.

It can be written as a sum of positive squares in 6 ways, for example, as 428738436 + 122221692273664 = 20706^2 + 11055392^2 .

It is not an unprimeable number, because it can be changed into a prime (122222121012109) 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, 2377836577 + ... + 2377887976.

It is an arithmetic number, because the mean of its divisors is an integer number (7395944302229).

Almost surely, 2^{122222121012100} is an apocalyptic number.

122222121012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222121012100 is an abundant number, since it is smaller than the sum of its proper divisors (144031873868144).

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

122222121012100 is a wasteful number, since it uses less digits than its factorization.

122222121012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755724824 (or 4755724817 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122222121012100 its reverse (1210121222221), we get a palindrome (123432242234321).

The spelling of 122222121012100 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, one hundred twenty-one million, twelve thousand, one hundred".