102110222100221 has 8 divisors (see below), whose sum is σ = 102164406519000. Its totient is φ = 102056040148032.

The previous prime is 102110222100209. The next prime is 102110222100283. The reversal of 102110222100221 is 122001222011201.

It can be written as a sum of positive squares in 4 ways, for example, as 776081712025 + 101334140388196 = 880955^2 + 10066486^2 .

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 102110222100221 - 2³⁸ = 101835344193277 is a prime.

It is a super-2 number, since 2×102110222100221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102110222100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110242100221) 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, 85375655 + ... + 86563403.

It is an arithmetic number, because the mean of its divisors is an integer number (12770550814875).

Almost surely, 2^{102110222100221} is an apocalyptic number.

It is an amenable number.

102110222100221 is a deficient number, since it is larger than the sum of its proper divisors (54184418779).

102110222100221 is a wasteful number, since it uses less digits than its factorization.

102110222100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233295.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102110222100221 its reverse (122001222011201), we get a palindrome (224111444111422).

The spelling of 102110222100221 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-one".