101122122123200 has 84 divisors (see below), whose sum is σ = 249163083877560. Its totient is φ = 40393665776640.

The previous prime is 101122122123199. The next prime is 101122122123227. The reversal of 101122122123200 is 2321221221101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41938610 + ... + 44284209.

Almost surely, 2^{101122122123200} is an apocalyptic number.

101122122123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122122123200 is an abundant number, since it is smaller than the sum of its proper divisors (148040961754360).

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

101122122123200 is an equidigital number, since it uses as much as digits as its factorization.

101122122123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86223574 (or 86223559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101122122123200 its reverse (2321221221101), we get a palindrome (103443343344301).

The spelling of 101122122123200 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, two hundred".