100122200212001 has 16 divisors (see below), whose sum is σ = 109958366246400. Its totient is φ = 90410210257920.

The previous prime is 100122200211991. The next prime is 100122200212003. The reversal of 100122200212001 is 100212002221001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122200212001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122200212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44350970 + ... + 46553763.

It is an arithmetic number, because the mean of its divisors is an integer number (6872397890400).

Almost surely, 2^{100122200212001} is an apocalyptic number.

100122200212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122200212001 is a deficient number, since it is larger than the sum of its proper divisors (9836166034399).

100122200212001 is a wasteful number, since it uses less digits than its factorization.

100122200212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90905416.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100122200212001 its reverse (100212002221001), we get a palindrome (200334202433002).

The spelling of 100122200212001 in words is "one hundred trillion, one hundred twenty-two billion, two hundred million, two hundred twelve thousand, one".