100102212112221 has 48 divisors (see below), whose sum is σ = 160413925763520. Its totient is φ = 59638397103360.

The previous prime is 100102212112183. The next prime is 100102212112237. The reversal of 100102212112221 is 122211212201001.

100102212112221 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 221 + 211 + 2 + 221 = 666.

It is not a de Polignac number, because 100102212112221 - 2⁷ = 100102212112093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102212112194 and 100102212112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102212114221) 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, 300136665 + ... + 300470001.

It is an arithmetic number, because the mean of its divisors is an integer number (3341956786740).

Almost surely, 2^{100102212112221} is an apocalyptic number.

100102212112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102212112221 is a deficient number, since it is larger than the sum of its proper divisors (60311713651299).

100102212112221 is a wasteful number, since it uses less digits than its factorization.

100102212112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384826 (or 384823 counting only the distinct ones).

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

Adding to 100102212112221 its reverse (122211212201001), we get a palindrome (222313424313222).

The spelling of 100102212112221 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, one hundred twelve thousand, two hundred twenty-one".