102102201013 has 32 divisors (see below), whose sum is σ = 110560665600. Its totient is φ = 94051964160.

The previous prime is 102102201011. The next prime is 102102201017. The reversal of 102102201013 is 310102201201.

It is a cyclic number.

It is not a de Polignac number, because 102102201013 - 2¹ = 102102201011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102102200984 and 102102201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102201011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22237348 + ... + 22241938.

It is an arithmetic number, because the mean of its divisors is an integer number (3455020800).

Almost surely, 2^102102201013 is an apocalyptic number.

It is an amenable number.

102102201013 is a deficient number, since it is larger than the sum of its proper divisors (8458464587).

102102201013 is a wasteful number, since it uses less digits than its factorization.

102102201013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969.

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

Adding to 102102201013 its reverse (310102201201), we get a palindrome (412204402214).

The spelling of 102102201013 in words is "one hundred two billion, one hundred two million, two hundred one thousand, thirteen".