102121000013 has 8 divisors (see below), whose sum is σ = 105811336800. Its totient is φ = 98495979088.

The previous prime is 102120999989. The next prime is 102121000019. The reversal of 102121000013 is 310000121201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102121000013 - 2¹⁰ = 102120998989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102120999958 and 102121000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121000019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16325783 + ... + 16332036.

It is an arithmetic number, because the mean of its divisors is an integer number (13226417100).

Almost surely, 2^102121000013 is an apocalyptic number.

It is an amenable number.

102121000013 is a deficient number, since it is larger than the sum of its proper divisors (3690336787).

102121000013 is an equidigital number, since it uses as much as digits as its factorization.

102121000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32657931.

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

Adding to 102121000013 its reverse (310000121201), we get a palindrome (412121121214).

The spelling of 102121000013 in words is "one hundred two billion, one hundred twenty-one million, thirteen", and thus it is an aban number.