100122122222001 has 64 divisors (see below), whose sum is σ = 161929138176000. Its totient is φ = 60636737773440.

The previous prime is 100122122221993. The next prime is 100122122222021. The reversal of 100122122222001 is 100222221221001.

It is a happy number.

100122122222001 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 221 + 222 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 100122122222001 - 2³ = 100122122221993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122122222021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2513148640 + ... + 2513188478.

It is an arithmetic number, because the mean of its divisors is an integer number (2530142784000).

Almost surely, 2^{100122122222001} is an apocalyptic number.

100122122222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122122222001 is a deficient number, since it is larger than the sum of its proper divisors (61807015953999).

100122122222001 is a wasteful number, since it uses less digits than its factorization.

100122122222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45691 (or 45685 counting only the distinct ones).

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

Adding to 100122122222001 its reverse (100222221221001), we get a palindrome (200344343443002).

The spelling of 100122122222001 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-two thousand, one".