2102113102130 has 32 divisors (see below), whose sum is σ = 4007126550960. Its totient is φ = 791236341760.

The previous prime is 2102113102127. The next prime is 2102113102183. The reversal of 2102113102130 is 312013112012.

It can be written as a sum of positive squares in 8 ways, for example, as 707666230441 + 1394446871689 = 841229^2 + 1180867^2 .

It is a super-2 number, since 2×2102113102130² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102113102099 and 2102113102108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234215 + ... + 2063754.

Almost surely, 2^{2102113102130} is an apocalyptic number.

2102113102130 is a deficient number, since it is larger than the sum of its proper divisors (1905013448830).

2102113102130 is a wasteful number, since it uses less digits than its factorization.

2102113102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303374.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2102113102130 its reverse (312013112012), we get a palindrome (2414126214142).

The spelling of 2102113102130 in words is "two trillion, one hundred two billion, one hundred thirteen million, one hundred two thousand, one hundred thirty".