102122012213 has 16 divisors (see below), whose sum is σ = 120462234480. Its totient is φ = 85662022656.

The previous prime is 102122012197. The next prime is 102122012243. The reversal of 102122012213 is 312210221201.

It can be written as a sum of positive squares in 8 ways, for example, as 2140369 + 102119871844 = 1463^2 + 319562^2 .

It is a cyclic number.

It is not a de Polignac number, because 102122012213 - 2⁴ = 102122012197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102122012191 and 102122012200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122012243) 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, 7960670 + ... + 7973487.

It is an arithmetic number, because the mean of its divisors is an integer number (7528889655).

Almost surely, 2^102122012213 is an apocalyptic number.

102122012213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102122012213 is a deficient number, since it is larger than the sum of its proper divisors (18340222267).

102122012213 is a wasteful number, since it uses less digits than its factorization.

102122012213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15934216.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102122012213 its reverse (312210221201), we get a palindrome (414332233414).

The spelling of 102122012213 in words is "one hundred two billion, one hundred twenty-two million, twelve thousand, two hundred thirteen".