102202212010221 has 96 divisors (see below), whose sum is σ = 161170899552000. Its totient is φ = 62208574331904.

The previous prime is 102202212010181. The next prime is 102202212010243. The reversal of 102202212010221 is 122010212202201.

It is a happy number.

102202212010221 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 221 + 201 + 0 + 221 = 666.

It is not a de Polignac number, because 102202212010221 - 2¹⁷ = 102202211879149 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102202212010194 and 102202212010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202212010291) 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, 5292973515 + ... + 5292992823.

It is an arithmetic number, because the mean of its divisors is an integer number (1678863537000).

Almost surely, 2^{102202212010221} is an apocalyptic number.

It is an amenable number.

102202212010221 is a deficient number, since it is larger than the sum of its proper divisors (58968687541779).

102202212010221 is a wasteful number, since it uses less digits than its factorization.

102202212010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29363 (or 29360 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202212010221 its reverse (122010212202201), we get a palindrome (224212424212422).

The spelling of 102202212010221 in words is "one hundred two trillion, two hundred two billion, two hundred twelve million, ten thousand, two hundred twenty-one".