100090091001 has 16 divisors (see below), whose sum is σ = 141163399296. Its totient is φ = 62951239296.

The previous prime is 100090090967. The next prime is 100090091027. The reversal of 100090091001 is 100190090001.

It is not a de Polignac number, because 100090091001 - 2¹⁹ = 100089566713 is a prime.

It is a super-2 number, since 2×100090091001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100090071001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9930450 + ... + 9940523.

It is an arithmetic number, because the mean of its divisors is an integer number (8822712456).

Almost surely, 2^100090091001 is an apocalyptic number.

It is an amenable number.

100090091001 is a deficient number, since it is larger than the sum of its proper divisors (41073308295).

100090091001 is a wasteful number, since it uses less digits than its factorization.

100090091001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19871072.

The product of its (nonzero) digits is 81, while the sum is 21.

It can be divided in two parts, 1000900 and 91001, that added together give a palindrome (1091901).

The spelling of 100090091001 in words is "one hundred billion, ninety million, ninety-one thousand, one".