101011000001109 has 192 divisors, whose sum is σ = 168870641460480. Its totient is φ = 53032200560640.

The previous prime is 101011000001081. The next prime is 101011000001123. The reversal of 101011000001109 is 901100000110101.

It is not a de Polignac number, because 101011000001109 - 2²⁰ = 101010998952533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000001209) 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, 5312723887 + ... + 5312742899.

It is an arithmetic number, because the mean of its divisors is an integer number (879534590940).

Almost surely, 2^{101011000001109} is an apocalyptic number.

101011000001109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

101011000001109 is a deficient number, since it is larger than the sum of its proper divisors (67859641459371).

101011000001109 is a wasteful number, since it uses less digits than its factorization.

101011000001109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19828 (or 19809 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 101011000001109 in words is "one hundred one trillion, eleven billion, one thousand, one hundred nine".