102102101213 has 16 divisors (see below), whose sum is σ = 119900567040. Its totient is φ = 85109066496.

The previous prime is 102102101203. The next prime is 102102101261. The reversal of 102102101213 is 312101201201.

It is a cyclic number.

It is not a de Polignac number, because 102102101213 - 2¹² = 102102097117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102101203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438773 + ... + 629861.

It is an arithmetic number, because the mean of its divisors is an integer number (7493785440).

Almost surely, 2^102102101213 is an apocalyptic number.

It is an amenable number.

102102101213 is a deficient number, since it is larger than the sum of its proper divisors (17798465827).

102102101213 is a wasteful number, since it uses less digits than its factorization.

102102101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193196.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102102101213 its reverse (312101201201), we get a palindrome (414203302414).

The spelling of 102102101213 in words is "one hundred two billion, one hundred two million, one hundred one thousand, two hundred thirteen".