10201112212200 has 192 divisors, whose sum is σ = 38921166802560. Its totient is φ = 2152322565120.

The previous prime is 10201112212189. The next prime is 10201112212211. The reversal of 10201112212200 is 221221110201.

It is an interprime number because it is at equal distance from previous prime (10201112212189) and next prime (10201112212211).

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 10201112212200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93362179 + ... + 93471378.

It is an arithmetic number, because the mean of its divisors is an integer number (202714410430).

Almost surely, 2^{10201112212200} is an apocalyptic number.

10201112212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201112212200 is an abundant number, since it is smaller than the sum of its proper divisors (28720054590360).

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

10201112212200 is a wasteful number, since it uses less digits than its factorization.

10201112212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186833596 (or 186833587 counting only the distinct ones).

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

Adding to 10201112212200 its reverse (221221110201), we get a palindrome (10422333322401).

The spelling of 10201112212200 in words is "ten trillion, two hundred one billion, one hundred twelve million, two hundred twelve thousand, two hundred".