122101233100 has 324 divisors, whose sum is σ = 342307622160. Its totient is φ = 37662240000.

The previous prime is 122101233073. The next prime is 122101233131. The reversal of 122101233100 is 1332101221.

It is a super-2 number, since 2×122101233100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 59881881 + ... + 59883919.

Almost surely, 2^122101233100 is an apocalyptic number.

122101233100 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 122101233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171153811080).

122101233100 is an abundant number, since it is smaller than the sum of its proper divisors (220206389060).

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

122101233100 is a wasteful number, since it uses less digits than its factorization.

122101233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122101233100 its reverse (1332101221), we get a palindrome (123433334321).

The spelling of 122101233100 in words is "one hundred twenty-two billion, one hundred one million, two hundred thirty-three thousand, one hundred".