101100999999999 has 16 divisors (see below), whose sum is σ = 135982280067200. Its totient is φ = 66811701535776.

The previous prime is 101100999999997. The next prime is 101101000000079. The reversal of 101100999999999 is 999999999001101.

It is not a de Polignac number, because 101100999999999 - 2¹ = 101100999999997 is a prime.

It is a Duffinian number.

101100999999999 is a modest number, since divided by 99999999 gives 1011009 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100999999991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188260984 + ... + 188797245.

It is an arithmetic number, because the mean of its divisors is an integer number (8498892504200).

Almost surely, 2^{101100999999999} is an apocalyptic number.

101100999999999 is a deficient number, since it is larger than the sum of its proper divisors (34881280067201).

101100999999999 is a wasteful number, since it uses less digits than its factorization.

101100999999999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377059014.

The product of its (nonzero) digits is 387420489, while the sum is 84.

It can be divided in two parts, 101100999999 and 999, that multiplied together give a palindrome (100999898999001).

The spelling of 101100999999999 in words is "one hundred one trillion, one hundred billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine".