101121221212200 has 288 divisors, whose sum is σ = 391673551526400. Its totient is φ = 22901371937280.

The previous prime is 101121221212169. The next prime is 101121221212213. The reversal of 101121221212200 is 2212122121101.

101121221212200 is a `hidden beast` number, since 1 + 0 + 11 + 21 + 221 + 212 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35440792 + ... + 38187591.

Almost surely, 2^{101121221212200} is an apocalyptic number.

101121221212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121221212200 is an abundant number, since it is smaller than the sum of its proper divisors (290552330314200).

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

101121221212200 is a wasteful number, since it uses less digits than its factorization.

101121221212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73628521 (or 73628509 counting only the distinct ones).

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

Adding to 101121221212200 its reverse (2212122121101), we get a palindrome (103333343333301).

The spelling of 101121221212200 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".