102121122013 has 4 divisors (see below), whose sum is σ = 102747632128. Its totient is φ = 101494611900.

The previous prime is 102121122011. The next prime is 102121122023. The reversal of 102121122013 is 310221121201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 310221121201 = 100343 ⋅3091607.

It is a cyclic number.

It is not a de Polignac number, because 102121122013 - 2¹ = 102121122011 is a prime.

It is a super-2 number, since 2×102121122013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121122011) 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, 313254813 + ... + 313255138.

It is an arithmetic number, because the mean of its divisors is an integer number (25686908032).

Almost surely, 2^102121122013 is an apocalyptic number.

It is an amenable number.

102121122013 is a deficient number, since it is larger than the sum of its proper divisors (626510115).

102121122013 is an equidigital number, since it uses as much as digits as its factorization.

102121122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626510114.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102121122013 its reverse (310221121201), we get a palindrome (412342243214).

The spelling of 102121122013 in words is "one hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, thirteen".