102221121111021 has 12 divisors (see below), whose sum is σ = 161075705993280. Its totient is φ = 61952194612680.

The previous prime is 102221121111001. The next prime is 102221121111059. The reversal of 102221121111021 is 120111121122201.

It is a happy number.

102221121111021 is a `hidden beast` number, since 102 + 221 + 1 + 211 + 110 + 21 = 666.

It is not a de Polignac number, because 102221121111021 - 2⁷ = 102221121110893 is a prime.

It is a super-3 number, since 3×102221121111021³ (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 = 102221121110985 and 102221121111003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221121111001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516268288341 + ... + 516268288538.

It is an arithmetic number, because the mean of its divisors is an integer number (13422975499440).

Almost surely, 2^{102221121111021} is an apocalyptic number.

102221121111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221121111021 is a deficient number, since it is larger than the sum of its proper divisors (58854584882259).

102221121111021 is a wasteful number, since it uses less digits than its factorization.

102221121111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032536576896 (or 1032536576893 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102221121111021 its reverse (120111121122201), we get a palindrome (222332242233222).

The spelling of 102221121111021 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred eleven thousand, twenty-one".