102120322213 has 32 divisors (see below), whose sum is σ = 126141926400. Its totient is φ = 80506331136.

The previous prime is 102120322153. The next prime is 102120322229. The reversal of 102120322213 is 312223021201.

It is not a de Polignac number, because 102120322213 - 2¹⁷ = 102120191141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120322273) 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, 39140253 + ... + 39142861.

It is an arithmetic number, because the mean of its divisors is an integer number (3941935200).

Almost surely, 2^102120322213 is an apocalyptic number.

102120322213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102120322213 is a deficient number, since it is larger than the sum of its proper divisors (24021604187).

102120322213 is a wasteful number, since it uses less digits than its factorization.

102120322213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102120322213 its reverse (312223021201), we get a palindrome (414343343414).

The spelling of 102120322213 in words is "one hundred two billion, one hundred twenty million, three hundred twenty-two thousand, two hundred thirteen".