10211110312200 has 192 divisors, whose sum is σ = 36283858815360. Its totient is φ = 2327042027520.

The previous prime is 10211110312133. The next prime is 10211110312259. The reversal of 10211110312200 is 221301111201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10211110312200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2191747 + ... + 5022546.

It is an arithmetic number, because the mean of its divisors is an integer number (188978431330).

Almost surely, 2^{10211110312200} is an apocalyptic number.

10211110312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211110312200 is an abundant number, since it is smaller than the sum of its proper divisors (26072748503160).

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

10211110312200 is a wasteful number, since it uses less digits than its factorization.

10211110312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214656 (or 7214647 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10211110312200 its reverse (221301111201), we get a palindrome (10432411423401).

The spelling of 10211110312200 in words is "ten trillion, two hundred eleven billion, one hundred ten million, three hundred twelve thousand, two hundred".