101122121100200 has 48 divisors (see below), whose sum is σ = 235982942581500. Its totient is φ = 40298480952320.

The previous prime is 101122121100179. The next prime is 101122121100349. The reversal of 101122121100200 is 2001121221101.

It can be written as a sum of positive squares in 6 ways, for example, as 25356481812484 + 75765639287716 = 5035522^2 + 8704346^2 .

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, 939742865 + ... + 939850464.

Almost surely, 2^{101122121100200} is an apocalyptic number.

101122121100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122121100200 is an abundant number, since it is smaller than the sum of its proper divisors (134860821481300).

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

101122121100200 is a wasteful number, since it uses less digits than its factorization.

101122121100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879593614 (or 1879593605 counting only the distinct ones).

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

Adding to 101122121100200 its reverse (2001121221101), we get a palindrome (103123242321301).

The spelling of 101122121100200 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, two hundred".