2102114202113 has 2 divisors, whose sum is σ = 2102114202114. Its totient is φ = 2102114202112.

The previous prime is 2102114202103. The next prime is 2102114202119. The reversal of 2102114202113 is 3112024112012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1593027671104 + 509086531009 = 1262152^2 + 713503^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102114202113 - 2¹⁴ = 2102114185729 is a prime.

It is a super-2 number, since 2×2102114202113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2102114202119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051057101056 + 1051057101057.

It is an arithmetic number, because the mean of its divisors is an integer number (1051057101057).

Almost surely, 2^{2102114202113} is an apocalyptic number.

It is an amenable number.

2102114202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102114202113 is an equidigital number, since it uses as much as digits as its factorization.

2102114202113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2102114202113 its reverse (3112024112012), we get a palindrome (5214138314125).

The spelling of 2102114202113 in words is "two trillion, one hundred two billion, one hundred fourteen million, two hundred two thousand, one hundred thirteen".