11001000100090 has 128 divisors (see below), whose sum is σ = 27205336553472. Its totient is φ = 3091515275520.

The previous prime is 11001000100049. The next prime is 11001000100091. The reversal of 11001000100090 is 9000100010011.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11001000100090.

It is not an unprimeable number, because it can be changed into a prime (11001000100091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12348652 + ... + 13209511.

It is an arithmetic number, because the mean of its divisors is an integer number (212541691824).

Almost surely, 2^{11001000100090} is an apocalyptic number.

11001000100090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11001000100090 is an abundant number, since it is smaller than the sum of its proper divisors (16204336453382).

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

11001000100090 is a wasteful number, since it uses less digits than its factorization.

11001000100090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25558244.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 11001000100090 in words is "eleven trillion, one billion, one hundred thousand, ninety".