122112121110100 has 72 divisors (see below), whose sum is σ = 299040717981600. Its totient is φ = 42873221193600.

The previous prime is 122112121110097. The next prime is 122112121110139. The reversal of 122112121110100 is 1011121211221.

It is a super-2 number, since 2×122112121110100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1913951190 + ... + 1914014989.

It is an arithmetic number, because the mean of its divisors is an integer number (4153343305300).

Almost surely, 2^{122112121110100} is an apocalyptic number.

122112121110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112121110100 is an abundant number, since it is smaller than the sum of its proper divisors (176928596871500).

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

122112121110100 is a wasteful number, since it uses less digits than its factorization.

122112121110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827966233 (or 3827966226 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 122112121110100 its reverse (1011121211221), we get a palindrome (123123242321321).

It can be divided in two parts, 122112121 and 110100, that added together give a palindrome (122222221).

The spelling of 122112121110100 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred ten thousand, one hundred".