102010102013 has 2 divisors, whose sum is σ = 102010102014. Its totient is φ = 102010102012.

The previous prime is 102010102009. The next prime is 102010102057. The reversal of 102010102013 is 310201010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66220272889 + 35789829124 = 257333^2 + 189182^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010102013 - 2² = 102010102009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102010101985 and 102010102003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102010102093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005051006 + 51005051007.

It is an arithmetic number, because the mean of its divisors is an integer number (51005051007).

Almost surely, 2^102010102013 is an apocalyptic number.

It is an amenable number.

102010102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010102013 is an equidigital number, since it uses as much as digits as its factorization.

102010102013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 102010102013 its reverse (310201010201), we get a palindrome (412211112214).

It can be divided in two parts, 10201010201 and 3, that multiplied together give a palindrome (30603030603).

The spelling of 102010102013 in words is "one hundred two billion, ten million, one hundred two thousand, thirteen".