101122122112200 has 432 divisors, whose sum is σ = 395652181946580. Its totient is φ = 23078218705920.

The previous prime is 101122122112169. The next prime is 101122122112211. The reversal of 101122122112200 is 2211221221101.

101122122112200 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 221 + 221 + 1 + 220 + 0 = 666.

101122122112200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 21801260549124 + 79320861563076 = 4669182^2 + 8906226^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 56716722 + ... + 58472478.

Almost surely, 2^{101122122112200} is an apocalyptic number.

101122122112200 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 101122122112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197826090973290).

101122122112200 is an abundant number, since it is smaller than the sum of its proper divisors (294530059834380).

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

101122122112200 is a wasteful number, since it uses less digits than its factorization.

101122122112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756446 (or 1756427 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101122122112200 its reverse (2211221221101), we get a palindrome (103333343333301).

The spelling of 101122122112200 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".