101199999999999 has 64 divisors (see below), whose sum is σ = 140270136652800. Its totient is φ = 64852371505152.

The previous prime is 101199999999983. The next prime is 101200000000079. The reversal of 101199999999999 is 999999999991101.

It is not a de Polignac number, because 101199999999999 - 2⁴ = 101199999999983 is a prime.

It is a super-9 number, since 9×101199999999999⁹ (a number of 128 digits) contains 999999999 as substring.

101199999999999 is a modest number, since divided by 99999999 gives 1011999 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101199999999929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8455169887 + ... + 8455181855.

It is an arithmetic number, because the mean of its divisors is an integer number (2191720885200).

Almost surely, 2^{101199999999999} is an apocalyptic number.

101199999999999 is a deficient number, since it is larger than the sum of its proper divisors (39070136652801).

101199999999999 is a wasteful number, since it uses less digits than its factorization.

101199999999999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13984.

The product of its (nonzero) digits is 31381059609, while the sum is 102.

The spelling of 101199999999999 in words is "one hundred one trillion, one hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine".