102102101221 has 8 divisors (see below), whose sum is σ = 102191303160. Its totient is φ = 102012937152.

The previous prime is 102102101203. The next prime is 102102101261. The reversal of 102102101221 is 122101201201.

It can be written as a sum of positive squares in 4 ways, for example, as 6318660100 + 95783441121 = 79490^2 + 309489^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102102101221 - 2²³ = 102093712613 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 (102102101261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8219211 + ... + 8231623.

It is an arithmetic number, because the mean of its divisors is an integer number (12773912895).

Almost surely, 2^102102101221 is an apocalyptic number.

It is an amenable number.

102102101221 is a deficient number, since it is larger than the sum of its proper divisors (89201939).

102102101221 is a wasteful number, since it uses less digits than its factorization.

102102101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18935.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102102101221 its reverse (122101201201), we get a palindrome (224203302422).

The spelling of 102102101221 in words is "one hundred two billion, one hundred two million, one hundred one thousand, two hundred twenty-one".