100999999999999 has 12 divisors (see below), whose sum is σ = 104535096699072. Its totient is φ = 97580910314880.

The previous prime is 100999999999949. The next prime is 101000000000117. The reversal of 100999999999999 is 999999999999001.

It is a happy number.

It is not a de Polignac number, because 100999999999999 - 2¹⁵ = 100999999967231 is a prime.

It is a super-9 number, since 9×100999999999999⁹ (a number of 127 digits) contains 999999999 as substring.

It is a Duffinian number.

100999999999999 is a modest number, since divided by 99999999 gives 1009999 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100999999999895 and 100999999999904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100999999999909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85989042 + ... + 87155695.

It is an arithmetic number, because the mean of its divisors is an integer number (8711258058256).

Almost surely, 2^{100999999999999} is an apocalyptic number.

100999999999999 is a deficient number, since it is larger than the sum of its proper divisors (3535096699073).

100999999999999 is an equidigital number, since it uses as much as digits as its factorization.

100999999999999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173145406 (or 173145375 counting only the distinct ones).

The product of its (nonzero) digits is 282429536481, while the sum is 109.

It can be divided in two parts, 100999 and 999999999, that multiplied together give a palindrome (100998999899001).

The spelling of 100999999999999 in words is "one hundred trillion, nine hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine".