122122112100 has 144 divisors (see below), whose sum is σ = 363303580416. Its totient is φ = 31653504000.

The previous prime is 122122112093. The next prime is 122122112111. The reversal of 122122112100 is 1211221221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122122112100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3314982 + ... + 3351618.

Almost surely, 2^122122112100 is an apocalyptic number.

122122112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181651790208).

122122112100 is an abundant number, since it is smaller than the sum of its proper divisors (241181468316).

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

122122112100 is a wasteful number, since it uses less digits than its factorization.

122122112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36966 (or 36959 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122122112100 its reverse (1211221221), we get a palindrome (123333333321).

It can be divided in two parts, 1221221 and 12100, that added together give a palindrome (1233321).

The spelling of 122122112100 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".