100133002000291 has 16 divisors (see below), whose sum is σ = 108482274883584. Its totient is φ = 91876130061984.

The previous prime is 100133002000271. The next prime is 100133002000309. The reversal of 100133002000291 is 192000200331001.

It is a cyclic number.

It is not a de Polignac number, because 100133002000291 - 2²³ = 100132993611683 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133002000261) 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, 436219350 + ... + 436448836.

It is an arithmetic number, because the mean of its divisors is an integer number (6780142180224).

Almost surely, 2^{100133002000291} is an apocalyptic number.

100133002000291 is a deficient number, since it is larger than the sum of its proper divisors (8349272883293).

100133002000291 is a wasteful number, since it uses less digits than its factorization.

100133002000291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430650.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 100133002000291 its reverse (192000200331001), we get a palindrome (292133202331292).

The spelling of 100133002000291 in words is "one hundred trillion, one hundred thirty-three billion, two million, two hundred ninety-one", and thus it is an aban number.