102021110010013 has 4 divisors (see below), whose sum is σ = 102107495371068. Its totient is φ = 101934724648960.

The previous prime is 102021110009983. The next prime is 102021110010023. The reversal of 102021110010013 is 310010011120201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 58697095928409 + 43324014081604 = 7661403^2 + 6582098^2 .

It is a cyclic number.

It is not a de Polignac number, because 102021110010013 - 2⁴¹ = 99822086754461 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102021110009975 and 102021110010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021110010023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43192678756 + ... + 43192681117.

It is an arithmetic number, because the mean of its divisors is an integer number (25526873842767).

Almost surely, 2^{102021110010013} is an apocalyptic number.

It is an amenable number.

102021110010013 is a deficient number, since it is larger than the sum of its proper divisors (86385361055).

102021110010013 is an equidigital number, since it uses as much as digits as its factorization.

102021110010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86385361054.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102021110010013 its reverse (310010011120201), we get a palindrome (412031121130214).

The spelling of 102021110010013 in words is "one hundred two trillion, twenty-one billion, one hundred ten million, ten thousand, thirteen".