102210021221 has 16 divisors (see below), whose sum is σ = 129176308608. Its totient is φ = 78553152000.

The previous prime is 102210021217. The next prime is 102210021233. The reversal of 102210021221 is 122120012201.

It is a cyclic number.

It is not a de Polignac number, because 102210021221 - 2² = 102210021217 is a prime.

It is a super-3 number, since 3×102210021221³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102210021196 and 102210021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210021421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9086180 + ... + 9097421.

It is an arithmetic number, because the mean of its divisors is an integer number (8073519288).

Almost surely, 2^102210021221 is an apocalyptic number.

102210021221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102210021221 is a deficient number, since it is larger than the sum of its proper divisors (26966287387).

102210021221 is a wasteful number, since it uses less digits than its factorization.

102210021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18183692.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102210021221 its reverse (122120012201), we get a palindrome (224330033422).

The spelling of 102210021221 in words is "one hundred two billion, two hundred ten million, twenty-one thousand, two hundred twenty-one".