10001100100999 has 16 divisors (see below), whose sum is σ = 11543742991872. Its totient is φ = 8486978264928.

The previous prime is 10001100100939. The next prime is 10001100101059. The reversal of 10001100100999 is 99900100110001.

It is an interprime number because it is at equal distance from previous prime (10001100100939) and next prime (10001100101059).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001100100999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001100100999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100100939) 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, 1060557 + ... + 4596409.

It is an arithmetic number, because the mean of its divisors is an integer number (721483936992).

Almost surely, 2^{10001100100999} is an apocalyptic number.

10001100100999 is a deficient number, since it is larger than the sum of its proper divisors (1542642890873).

10001100100999 is a wasteful number, since it uses less digits than its factorization.

10001100100999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539886.

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 10001100100999 in words is "ten trillion, one billion, one hundred million, one hundred thousand, nine hundred ninety-nine".