1100201001993 has 16 divisors (see below), whose sum is σ = 1682505715200. Its totient is φ = 709807097520.

The previous prime is 1100201001973. The next prime is 1100201002009. The reversal of 1100201001993 is 3991001020011.

It is not a de Polignac number, because 1100201001993 - 2⁸ = 1100201001737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1100201001943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657227958 + ... + 657229631.

It is an arithmetic number, because the mean of its divisors is an integer number (105156607200).

Almost surely, 2^{1100201001993} is an apocalyptic number.

It is an amenable number.

1100201001993 is a deficient number, since it is larger than the sum of its proper divisors (582304713207).

1100201001993 is a wasteful number, since it uses less digits than its factorization.

1100201001993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314457629 (or 1314457623 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 1100201001993 in words is "one trillion, one hundred billion, two hundred one million, one thousand, nine hundred ninety-three".