10012001102109 has 12 divisors (see below), whose sum is σ = 14503217137500. Its totient is φ = 6655542277824.

The previous prime is 10012001102107. The next prime is 10012001102137. The reversal of 10012001102109 is 90120110021001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5958310131225 + 4053690970884 = 2440965^2 + 2013378^2 .

It is not a de Polignac number, because 10012001102109 - 2¹ = 10012001102107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012001102091 and 10012001102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012001102107) 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, 1593756984 + ... + 1593763265.

It is an arithmetic number, because the mean of its divisors is an integer number (1208601428125).

Almost surely, 2^{10012001102109} is an apocalyptic number.

It is an amenable number.

10012001102109 is a deficient number, since it is larger than the sum of its proper divisors (4491216035391).

10012001102109 is a wasteful number, since it uses less digits than its factorization.

10012001102109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187520604 (or 3187520601 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 10012001102109 in words is "ten trillion, twelve billion, one million, one hundred two thousand, one hundred nine".