102220121222213 has 16 divisors (see below), whose sum is σ = 109718145610416. Its totient is φ = 94887163699200.

The previous prime is 102220121222057. The next prime is 102220121222279. The reversal of 102220121222213 is 312222121022201.

It can be written as a sum of positive squares in 8 ways, for example, as 7291090840804 + 94929030381409 = 2700202^2 + 9743153^2 .

It is a cyclic number.

It is not a de Polignac number, because 102220121222213 - 2¹⁶ = 102220121156677 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 (102220121212213) 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, 56570045 + ... + 58349037.

It is an arithmetic number, because the mean of its divisors is an integer number (6857384100651).

Almost surely, 2^{102220121222213} is an apocalyptic number.

It is an amenable number.

102220121222213 is a deficient number, since it is larger than the sum of its proper divisors (7498024388203).

102220121222213 is a wasteful number, since it uses less digits than its factorization.

102220121222213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825384.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 102220121222213 its reverse (312222121022201), we get a palindrome (414442242244414).

The spelling of 102220121222213 in words is "one hundred two trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred thirteen".