102100122013 has 4 divisors (see below), whose sum is σ = 105393674368. Its totient is φ = 98806569660.

The previous prime is 102100122011. The next prime is 102100122029. The reversal of 102100122013 is 310221001201.

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.

It is a cyclic number.

It is not a de Polignac number, because 102100122013 - 2¹ = 102100122011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100121984 and 102100122002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100122011) 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, 1646776131 + ... + 1646776192.

It is an arithmetic number, because the mean of its divisors is an integer number (26348418592).

Almost surely, 2^102100122013 is an apocalyptic number.

It is an amenable number.

102100122013 is a deficient number, since it is larger than the sum of its proper divisors (3293552355).

102100122013 is an equidigital number, since it uses as much as digits as its factorization.

102100122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293552354.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102100122013 its reverse (310221001201), we get a palindrome (412321123214).

The spelling of 102100122013 in words is "one hundred two billion, one hundred million, one hundred twenty-two thousand, thirteen".