102221021200221 has 48 divisors (see below), whose sum is σ = 185607716082048. Its totient is φ = 53101829151360.

The previous prime is 102221021200213. The next prime is 102221021200279. The reversal of 102221021200221 is 122002120122201.

It is a happy number.

102221021200221 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 0 + 21 + 200 + 221 = 666.

It is not a de Polignac number, because 102221021200221 - 2³ = 102221021200213 is a prime.

It is a super-2 number, since 2×102221021200221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102221021200194 and 102221021200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221021200321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609441276 + ... + 609608981.

It is an arithmetic number, because the mean of its divisors is an integer number (3866827418376).

Almost surely, 2^{102221021200221} is an apocalyptic number.

102221021200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221021200221 is a deficient number, since it is larger than the sum of its proper divisors (83386694881827).

102221021200221 is a wasteful number, since it uses less digits than its factorization.

102221021200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219050303 (or 1219050278 counting only the distinct ones).

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

Adding to 102221021200221 its reverse (122002120122201), we get a palindrome (224223141322422).

The spelling of 102221021200221 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-one million, two hundred thousand, two hundred twenty-one".