10100112099 has 64 divisors (see below), whose sum is σ = 17117291520. Its totient is φ = 5145477120.

The previous prime is 10100112059. The next prime is 10100112101. The reversal of 10100112099 is 99021100101.

10100112099 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100112099 - 2²³ = 10091723491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100112049) 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 63 ways as a sum of consecutive naturals, for example, 2529997 + ... + 2533985.

It is an arithmetic number, because the mean of its divisors is an integer number (267457680).

Almost surely, 2^10100112099 is an apocalyptic number.

10100112099 is a deficient number, since it is larger than the sum of its proper divisors (7017179421).

10100112099 is a wasteful number, since it uses less digits than its factorization.

10100112099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220.

The product of its (nonzero) digits is 162, while the sum is 24.

The spelling of 10100112099 in words is "ten billion, one hundred million, one hundred twelve thousand, ninety-nine".