102211120120221 has 24 divisors (see below), whose sum is σ = 168827396038080. Its totient is φ = 58372456234176.

The previous prime is 102211120120169. The next prime is 102211120120247. The reversal of 102211120120221 is 122021021112201.

102211120120221 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 1 + 201 + 20 + 221 = 666.

It is not a de Polignac number, because 102211120120221 - 2²² = 102211115925917 is a prime.

It is a super-3 number, since 3×102211120120221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102211120120194 and 102211120120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211120120321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470697816 + ... + 470914913.

It is an arithmetic number, because the mean of its divisors is an integer number (7034474834920).

Almost surely, 2^{102211120120221} is an apocalyptic number.

It is an amenable number.

102211120120221 is a deficient number, since it is larger than the sum of its proper divisors (66616275917859).

102211120120221 is a wasteful number, since it uses less digits than its factorization.

102211120120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941614465 (or 941614462 counting only the distinct ones).

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

Adding to 102211120120221 its reverse (122021021112201), we get a palindrome (224232141232422).

The spelling of 102211120120221 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, one hundred twenty thousand, two hundred twenty-one".