2100027113 has 2 divisors, whose sum is σ = 2100027114. Its totient is φ = 2100027112.

The previous prime is 2100027107. The next prime is 2100027157. The reversal of 2100027113 is 3117200012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1759550809 + 340476304 = 41947^2 + 18452^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100027113 - 2⁶ = 2100027049 is a prime.

It is a super-2 number, since 2×2100027113² = 8820227750670229538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100027091 and 2100027100.

It is not a weakly prime, because it can be changed into another prime (2100027173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050013556 + 1050013557.

It is an arithmetic number, because the mean of its divisors is an integer number (1050013557).

Almost surely, 2^2100027113 is an apocalyptic number.

It is an amenable number.

2100027113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100027113 is an equidigital number, since it uses as much as digits as its factorization.

2100027113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 2100027113 is about 45826.0527756865. The cubic root of 2100027113 is about 1280.5846761293.

Adding to 2100027113 its reverse (3117200012), we get a palindrome (5217227125).

The spelling of 2100027113 in words is "two billion, one hundred million, twenty-seven thousand, one hundred thirteen".