100227832001 has 16 divisors (see below), whose sum is σ = 112954454016. Its totient is φ = 88108290000.

The previous prime is 100227831989. The next prime is 100227832009. The reversal of 100227832001 is 100238722001.

It is a cyclic number.

It is not a de Polignac number, because 100227832001 - 2¹⁰ = 100227830977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100227832009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326396 + ... + 554066.

It is an arithmetic number, because the mean of its divisors is an integer number (7059653376).

Almost surely, 2^100227832001 is an apocalyptic number.

100227832001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100227832001 is a deficient number, since it is larger than the sum of its proper divisors (12726622015).

100227832001 is a wasteful number, since it uses less digits than its factorization.

100227832001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229004.

The product of its (nonzero) digits is 1344, while the sum is 26.

Subtracting 100227832001 from its reverse (100238722001), we obtain a square (10890000 = 3300²).

The spelling of 100227832001 in words is "one hundred billion, two hundred twenty-seven million, eight hundred thirty-two thousand, one".