10011100012200 has 864 divisors, whose sum is σ = 39925126949760. Its totient is φ = 2200578969600.

The previous prime is 10011100012181. The next prime is 10011100012259. The reversal of 10011100012200 is 221000111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3692768845 + ... + 3692771555.

Almost surely, 2^{10011100012200} is an apocalyptic number.

10011100012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011100012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19962563474880).

10011100012200 is an abundant number, since it is smaller than the sum of its proper divisors (29914026937560).

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

10011100012200 is a wasteful number, since it uses less digits than its factorization.

10011100012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011100012200 its reverse (221000111001), we get a palindrome (10232100123201).

The spelling of 10011100012200 in words is "ten trillion, eleven billion, one hundred million, twelve thousand, two hundred".