100102212220221 has 12 divisors (see below), whose sum is σ = 144845310392640. Its totient is φ = 66617934573960.

The previous prime is 100102212220183. The next prime is 100102212220271. The reversal of 100102212220221 is 122022212201001.

It is a happy number.

100102212220221 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 221 + 2 + 220 + 221 = 666.

It is not a de Polignac number, because 100102212220221 - 2¹⁰ = 100102212219197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102212220194 and 100102212220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102212220271) 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, 9739458981 + ... + 9739469258.

It is an arithmetic number, because the mean of its divisors is an integer number (12070442532720).

Almost surely, 2^{100102212220221} is an apocalyptic number.

It is an amenable number.

100102212220221 is a deficient number, since it is larger than the sum of its proper divisors (44743098172419).

100102212220221 is a wasteful number, since it uses less digits than its factorization.

100102212220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19478928816 (or 19478928813 counting only the distinct ones).

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

Adding to 100102212220221 its reverse (122022212201001), we get a palindrome (222124424421222).

The spelling of 100102212220221 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, two hundred twenty thousand, two hundred twenty-one".