101009999999999 has 8 divisors (see below), whose sum is σ = 101367275423760. Its totient is φ = 100652727038976.

The previous prime is 101009999999969. The next prime is 101010000000059. The reversal of 101009999999999 is 999999999900101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101009999999999 - 2⁴⁴ = 83417813955583 is a prime.

It is a super-9 number, since 9×101009999999999⁹ (a number of 127 digits) contains 999999999 as substring.

It is a Duffinian number.

101009999999999 is a modest number, since divided by 99999999 gives 1010099 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101009999999939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131872229 + ... + 132635985.

It is an arithmetic number, because the mean of its divisors is an integer number (12670909427970).

Almost surely, 2^{101009999999999} is an apocalyptic number.

101009999999999 is a deficient number, since it is larger than the sum of its proper divisors (357275423761).

101009999999999 is an equidigital number, since it uses as much as digits as its factorization.

101009999999999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231369.

The product of its (nonzero) digits is 3486784401, while the sum is 92.

The spelling of 101009999999999 in words is "one hundred one trillion, nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine".