102410102013 has 32 divisors (see below), whose sum is σ = 144559779840. Its totient is φ = 64354308480.

The previous prime is 102410102009. The next prime is 102410102023. The reversal of 102410102013 is 310201014201.

It is not a de Polignac number, because 102410102013 - 2² = 102410102009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102410101983 and 102410102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102410102023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14463208 + ... + 14470286.

It is an arithmetic number, because the mean of its divisors is an integer number (4517493120).

Almost surely, 2^102410102013 is an apocalyptic number.

It is an amenable number.

102410102013 is a deficient number, since it is larger than the sum of its proper divisors (42149677827).

102410102013 is a wasteful number, since it uses less digits than its factorization.

102410102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102410102013 its reverse (310201014201), we get a palindrome (412611116214).

The spelling of 102410102013 in words is "one hundred two billion, four hundred ten million, one hundred two thousand, thirteen".