999010011100101 has 192 divisors, whose sum is σ = 1847795969488896. Its totient is φ = 465863832345600.

The previous prime is 999010011100097. The next prime is 999010011100139. The reversal of 999010011100101 is 101001110010999.

It is not a de Polignac number, because 999010011100101 - 2² = 999010011100097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999010011100601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2884379506 + ... + 2884725836.

It is an arithmetic number, because the mean of its divisors is an integer number (9623937341088).

Almost surely, 2^{999010011100101} is an apocalyptic number.

999010011100101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

999010011100101 is a deficient number, since it is larger than the sum of its proper divisors (848785958388795).

999010011100101 is a wasteful number, since it uses less digits than its factorization.

999010011100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348412 (or 348399 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 33.

The spelling of 999010011100101 in words is "nine hundred ninety-nine trillion, ten billion, eleven million, one hundred thousand, one hundred one".