101122100112200 has 96 divisors (see below), whose sum is σ = 236676338976960. Its totient is φ = 40179193824000.

The previous prime is 101122100112197. The next prime is 101122100112259. The reversal of 101122100112200 is 2211001221101.

It is a super-2 number, since 2×101122100112200² (a number of 29 digits) contains 22 as substring.

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, 843939494 + ... + 844059306.

It is an arithmetic number, because the mean of its divisors is an integer number (2465378531010).

Almost surely, 2^{101122100112200} is an apocalyptic number.

101122100112200 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 101122100112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118338169488480).

101122100112200 is an abundant number, since it is smaller than the sum of its proper divisors (135554238864760).

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

101122100112200 is a wasteful number, since it uses less digits than its factorization.

101122100112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147927 (or 147918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122100112200 its reverse (2211001221101), we get a palindrome (103333101333301).

The spelling of 101122100112200 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred million, one hundred twelve thousand, two hundred".