100222112120121 has 16 divisors (see below), whose sum is σ = 148484182288000. Its totient is φ = 66811600797264.

The previous prime is 100222112120087. The next prime is 100222112120129. The reversal of 100222112120121 is 121021211222001.

100222112120121 is a `hidden beast` number, since 100 + 2 + 221 + 121 + 201 + 21 = 666.

It is not a de Polignac number, because 100222112120121 - 2⁷ = 100222112119993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100222112120094 and 100222112120103.

It is not an unprimeable number, because it can be changed into a prime (100222112120129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86654221 + ... + 87803178.

It is an arithmetic number, because the mean of its divisors is an integer number (9280261393000).

Almost surely, 2^{100222112120121} is an apocalyptic number.

It is an amenable number.

100222112120121 is a deficient number, since it is larger than the sum of its proper divisors (48262070167879).

100222112120121 is a wasteful number, since it uses less digits than its factorization.

100222112120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174478685 (or 174478679 counting only the distinct ones).

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

Adding to 100222112120121 its reverse (121021211222001), we get a palindrome (221243323342122).

The spelling of 100222112120121 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-one".