101122200 has 72 divisors (see below), whose sum is σ = 339608100. Its totient is φ = 26965440.

The previous prime is 101122187. The next prime is 101122289. The reversal of 101122200 is 2221101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26290 + ... + 29889.

Almost surely, 2^101122200 is an apocalyptic number.

101122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122200 is an abundant number, since it is smaller than the sum of its proper divisors (238485900).

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

101122200 is a wasteful number, since it uses less digits than its factorization.

101122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56201 (or 56189 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101122200 is about 10055.9534605128. The cubic root of 101122200 is about 465.8886924316. Note that the first 3 decimals are identical.

Adding to 101122200 its reverse (2221101), we get a palindrome (103343301).

The spelling of 101122200 in words is "one hundred one million, one hundred twenty-two thousand, two hundred".