102010110033113 has 2 divisors, whose sum is σ = 102010110033114. Its totient is φ = 102010110033112.

The previous prime is 102010110033043. The next prime is 102010110033133. The reversal of 102010110033113 is 311330011010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99155132082889 + 2854977950224 = 9957667^2 + 1689668^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010110033113 - 2¹⁸ = 102010109770969 is a prime.

It is a super-3 number, since 3×102010110033113³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010110033091 and 102010110033100.

It is not a weakly prime, because it can be changed into another prime (102010110033133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005055016556 + 51005055016557.

It is an arithmetic number, because the mean of its divisors is an integer number (51005055016557).

Almost surely, 2^{102010110033113} is an apocalyptic number.

It is an amenable number.

102010110033113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010110033113 is an equidigital number, since it uses as much as digits as its factorization.

102010110033113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 102010110033113 its reverse (311330011010201), we get a palindrome (413340121043314).

The spelling of 102010110033113 in words is "one hundred two trillion, ten billion, one hundred ten million, thirty-three thousand, one hundred thirteen".