102221010112221 has 384 divisors, whose sum is σ = 207219099709440. Its totient is φ = 46852179148800.

The previous prime is 102221010112183. The next prime is 102221010112279. The reversal of 102221010112221 is 122211010122201.

102221010112221 is a `hidden beast` number, since 10 + 222 + 101 + 0 + 112 + 221 = 666.

It is not a de Polignac number, because 102221010112221 - 2⁶ = 102221010112157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221010112194 and 102221010112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221010112421) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4952318061 + ... + 4952338701.

It is an arithmetic number, because the mean of its divisors is an integer number (539633072160).

Almost surely, 2^{102221010112221} is an apocalyptic number.

102221010112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221010112221 is an abundant number, since it is smaller than the sum of its proper divisors (104998089597219).

102221010112221 is a wasteful number, since it uses less digits than its factorization.

102221010112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20977 (or 20974 counting only the distinct ones).

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

Adding to 102221010112221 its reverse (122211010122201), we get a palindrome (224432020234422).

The spelling of 102221010112221 in words is "one hundred two trillion, two hundred twenty-one billion, ten million, one hundred twelve thousand, two hundred twenty-one".