11200121100993 has 16 divisors (see below), whose sum is σ = 17148510777600. Its totient is φ = 6430691540880.

The previous prime is 11200121100943. The next prime is 11200121101003. The reversal of 11200121100993 is 39900112100211.

It is not a de Polignac number, because 11200121100993 - 2⁶ = 11200121100929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11200121100993.

It is not an unprimeable number, because it can be changed into a prime (11200121100943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8931515403 + ... + 8931516656.

It is an arithmetic number, because the mean of its divisors is an integer number (1071781923600).

Almost surely, 2^{11200121100993} is an apocalyptic number.

It is an amenable number.

11200121100993 is a deficient number, since it is larger than the sum of its proper divisors (5948389676607).

11200121100993 is a wasteful number, since it uses less digits than its factorization.

11200121100993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17863032092.

The product of its (nonzero) digits is 972, while the sum is 30.

The spelling of 11200121100993 in words is "eleven trillion, two hundred billion, one hundred twenty-one million, one hundred thousand, nine hundred ninety-three".