2100102102113 has 2 divisors, whose sum is σ = 2100102102114. Its totient is φ = 2100102102112.

The previous prime is 2100102102089. The next prime is 2100102102149. The reversal of 2100102102113 is 3112012010012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2081810351104 + 18291751009 = 1442848^2 + 135247^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100102102113 - 2⁸ = 2100102101857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100102102313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050051051056 + 1050051051057.

It is an arithmetic number, because the mean of its divisors is an integer number (1050051051057).

Almost surely, 2^{2100102102113} is an apocalyptic number.

It is an amenable number.

2100102102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100102102113 is an equidigital number, since it uses as much as digits as its factorization.

2100102102113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2100102102113 its reverse (3112012010012), we get a palindrome (5212114112125).

The spelling of 2100102102113 in words is "two trillion, one hundred billion, one hundred two million, one hundred two thousand, one hundred thirteen".