10100109999999 has 16 divisors (see below), whose sum is σ = 14259059659008. Its totient is φ = 6337287994752.

The previous prime is 10100109999989. The next prime is 10100110000037. The reversal of 10100109999999 is 99999990100101.

It is not a de Polignac number, because 10100109999999 - 2⁷ = 10100109999871 is a prime.

10100109999999 is a modest number, since divided by 9999999 gives 1010010 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100109999919) 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, 10726774 + ... + 11630300.

It is an arithmetic number, because the mean of its divisors is an integer number (891191228688).

Almost surely, 2^{10100109999999} is an apocalyptic number.

10100109999999 is a deficient number, since it is larger than the sum of its proper divisors (4158949659009).

10100109999999 is a wasteful number, since it uses less digits than its factorization.

10100109999999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122734.

The product of its (nonzero) digits is 4782969, while the sum is 66.

The spelling of 10100109999999 in words is "ten trillion, one hundred billion, one hundred nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine".