101000011109999 has 8 divisors (see below), whose sum is σ = 106323917760000. Its totient is φ = 95676916119192.

The previous prime is 101000011109983. The next prime is 101000011110007. The reversal of 101000011109999 is 999901110000101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101000011109999 - 2⁴ = 101000011109983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000011109969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202659359 + ... + 203157120.

It is an arithmetic number, because the mean of its divisors is an integer number (13290489720000).

Almost surely, 2^{101000011109999} is an apocalyptic number.

101000011109999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101000011109999 is a deficient number, since it is larger than the sum of its proper divisors (5323906650001).

101000011109999 is a wasteful number, since it uses less digits than its factorization.

101000011109999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405829597.

The product of its (nonzero) digits is 6561, while the sum is 41.

The spelling of 101000011109999 in words is "one hundred one trillion, eleven million, one hundred nine thousand, nine hundred ninety-nine".