101101000999999 has 32 divisors (see below), whose sum is σ = 136128545731584. Its totient is φ = 72513994798080.

The previous prime is 101101000999913. The next prime is 101101001000071. The reversal of 101101000999999 is 999999000101101.

It is a happy number.

It is not a de Polignac number, because 101101000999999 - 2³¹ = 101098853516351 is a prime.

101101000999999 is a modest number, since divided by 999999 gives 101101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101000919999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142706139 + ... + 143412844.

It is an arithmetic number, because the mean of its divisors is an integer number (4254017054112).

Almost surely, 2^{101101000999999} is an apocalyptic number.

101101000999999 is a deficient number, since it is larger than the sum of its proper divisors (35027544731585).

101101000999999 is a wasteful number, since it uses less digits than its factorization.

101101000999999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286119367.

The product of its (nonzero) digits is 531441, while the sum is 58.

The spelling of 101101000999999 in words is "one hundred one trillion, one hundred one billion, nine hundred ninety-nine thousand, nine hundred ninety-nine".