10111220212200 has 96 divisors (see below), whose sum is σ = 31345472957760. Its totient is φ = 2696266009600.

The previous prime is 10111220212193. The next prime is 10111220212201. The reversal of 10111220212200 is 221202211101.

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 10111220212200.

It is not an unprimeable number, because it can be changed into a prime (10111220212201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31621120 + ... + 31939280.

It is an arithmetic number, because the mean of its divisors is an integer number (326515343310).

Almost surely, 2^{10111220212200} is an apocalyptic number.

10111220212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111220212200 is an abundant number, since it is smaller than the sum of its proper divisors (21234252745560).

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

10111220212200 is a wasteful number, since it uses less digits than its factorization.

10111220212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371147 (or 371138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10111220212200 its reverse (221202211101), we get a palindrome (10332422423301).

The spelling of 10111220212200 in words is "ten trillion, one hundred eleven billion, two hundred twenty million, two hundred twelve thousand, two hundred".