100344770801 has 16 divisors (see below), whose sum is σ = 111294518400. Its totient is φ = 89706220800.

The previous prime is 100344770791. The next prime is 100344770807. The reversal of 100344770801 is 108077443001.

It is a cyclic number.

It is not a de Polignac number, because 100344770801 - 2¹⁴ = 100344754417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100344770807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138665 + ... + 468953.

It is an arithmetic number, because the mean of its divisors is an integer number (6955907400).

Almost surely, 2^100344770801 is an apocalyptic number.

100344770801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100344770801 is a deficient number, since it is larger than the sum of its proper divisors (10949747599).

100344770801 is a wasteful number, since it uses less digits than its factorization.

100344770801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330760.

The product of its (nonzero) digits is 18816, while the sum is 35.

The spelling of 100344770801 in words is "one hundred billion, three hundred forty-four million, seven hundred seventy thousand, eight hundred one".