102120221202221 has 8 divisors (see below), whose sum is σ = 104047188777720. Its totient is φ = 100193259958272.

The previous prime is 102120221202193. The next prime is 102120221202229. The reversal of 102120221202221 is 122202122021201.

It can be written as a sum of positive squares in 4 ways, for example, as 5432115876100 + 96688105326121 = 2330690^2 + 9833011^2 .

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 102120221202221 - 2¹⁰ = 102120221201197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102120221202193 and 102120221202202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120221202229) 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, 42403181 + ... + 44746733.

It is an arithmetic number, because the mean of its divisors is an integer number (13005898597215).

Almost surely, 2^{102120221202221} is an apocalyptic number.

It is an amenable number.

102120221202221 is a deficient number, since it is larger than the sum of its proper divisors (1926967575499).

102120221202221 is an equidigital number, since it uses as much as digits as its factorization.

102120221202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165775.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102120221202221 its reverse (122202122021201), we get a palindrome (224322343223422).

The spelling of 102120221202221 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty-one".