102112201012221 has 10 divisors (see below), whose sum is σ = 152537979289982. Its totient is φ = 68074800674760.

The previous prime is 102112201012193. The next prime is 102112201012279. The reversal of 102112201012221 is 122210102211201.

102112201012221 is a `hidden beast` number, since 1 + 0 + 211 + 220 + 1 + 0 + 12 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93811060443321 + 8301140568900 = 9685611^2 + 2881170^2 .

It is not a de Polignac number, because 102112201012221 - 2²³ = 102112192623613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102112201012194 and 102112201012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112201012021) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 630322228390 + ... + 630322228551.

Almost surely, 2^{102112201012221} is an apocalyptic number.

It is an amenable number.

102112201012221 is a deficient number, since it is larger than the sum of its proper divisors (50425778277761).

102112201012221 is an equidigital number, since it uses as much as digits as its factorization.

102112201012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260644456953 (or 1260644456944 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112201012221 its reverse (122210102211201), we get a palindrome (224322303223422).

The spelling of 102112201012221 in words is "one hundred two trillion, one hundred twelve billion, two hundred one million, twelve thousand, two hundred twenty-one".