10011212314200 has 72 divisors (see below), whose sum is σ = 33620988027900. Its totient is φ = 2669656616640.

The previous prime is 10011212314151. The next prime is 10011212314217. The reversal of 10011212314200 is 241321211001.

10011212314200 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 212 + 31 + 420 + 0 = 666.

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 (18).

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, 2780890510 + ... + 2780894109.

Almost surely, 2^{10011212314200} is an apocalyptic number.

10011212314200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011212314200 is an abundant number, since it is smaller than the sum of its proper divisors (23609775713700).

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

10011212314200 is a wasteful number, since it uses less digits than its factorization.

10011212314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561784641 (or 5561784629 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10011212314200 its reverse (241321211001), we get a palindrome (10252533525201).

The spelling of 10011212314200 in words is "ten trillion, eleven billion, two hundred twelve million, three hundred fourteen thousand, two hundred".