100222001000121 has 192 divisors, whose sum is σ = 185720330686464. Its totient is φ = 46745316794880.

The previous prime is 100222000999957. The next prime is 100222001000123. The reversal of 100222001000121 is 121000100222001.

It is not a de Polignac number, because 100222001000121 - 2¹⁴ = 100222000983737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222001000097 and 100222001000106.

It is not an unprimeable number, because it can be changed into a prime (100222001000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4721429110 + ... + 4721450336.

It is an arithmetic number, because the mean of its divisors is an integer number (967293388992).

Almost surely, 2^{100222001000121} is an apocalyptic number.

100222001000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222001000121 is a deficient number, since it is larger than the sum of its proper divisors (85498329686343).

100222001000121 is a wasteful number, since it uses less digits than its factorization.

100222001000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25172 (or 25161 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100222001000121 its reverse (121000100222001), we get a palindrome (221222101222122).

The spelling of 100222001000121 in words is "one hundred trillion, two hundred twenty-two billion, one million, one hundred twenty-one", and thus it is an aban number.