1000002100113 has 16 divisors (see below), whose sum is σ = 1483367069760. Its totient is φ = 665820952128.

The previous prime is 1000002100087. The next prime is 1000002100127. The reversal of 1000002100113 is 3110012000001.

It is not a de Polignac number, because 1000002100113 - 2⁵ = 1000002100081 is a prime.

It is a super-2 number, since 2×1000002100113² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000002100095 and 1000002100104.

It is not an unprimeable number, because it can be changed into a prime (1000002100183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23509320 + ... + 23551817.

It is an arithmetic number, because the mean of its divisors is an integer number (92710441860).

Almost surely, 2^{1000002100113} is an apocalyptic number.

It is an amenable number.

1000002100113 is a deficient number, since it is larger than the sum of its proper divisors (483364969647).

1000002100113 is an equidigital number, since it uses as much as digits as its factorization.

1000002100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47061933 (or 47061927 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000002100113 its reverse (3110012000001), we get a palindrome (4110014100114).

The spelling of 1000002100113 in words is "one trillion, two million, one hundred thousand, one hundred thirteen".