102201110113221 has 96 divisors (see below), whose sum is σ = 170733674921472. Its totient is φ = 57703826718720.

The previous prime is 102201110113211. The next prime is 102201110113273. The reversal of 102201110113221 is 122311011102201.

It is a happy number.

102201110113221 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 110 + 11 + 322 + 1 = 666.

It is not a de Polignac number, because 102201110113221 - 2⁷ = 102201110113093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102201110113194 and 102201110113203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201110113211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6709183621 + ... + 6709198853.

It is an arithmetic number, because the mean of its divisors is an integer number (1778475780432).

Almost surely, 2^{102201110113221} is an apocalyptic number.

It is an amenable number.

102201110113221 is a deficient number, since it is larger than the sum of its proper divisors (68532564808251).

102201110113221 is a wasteful number, since it uses less digits than its factorization.

102201110113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17603 (or 17600 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102201110113221 its reverse (122311011102201), we get a palindrome (224512121215422).

The spelling of 102201110113221 in words is "one hundred two trillion, two hundred one billion, one hundred ten million, one hundred thirteen thousand, two hundred twenty-one".