100122011221001 has 24 divisors (see below), whose sum is σ = 127317400681536. Its totient is φ = 77856951906720.

The previous prime is 100122011220997. The next prime is 100122011221021. The reversal of 100122011221001 is 100122110221001.

It is not a de Polignac number, because 100122011221001 - 2² = 100122011220997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122011221021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190451186 + ... + 190976171.

It is an arithmetic number, because the mean of its divisors is an integer number (5304891695064).

Almost surely, 2^{100122011221001} is an apocalyptic number.

100122011221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122011221001 is a deficient number, since it is larger than the sum of its proper divisors (27195389460535).

100122011221001 is a wasteful number, since it uses less digits than its factorization.

100122011221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381427869 (or 381427862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100122011221001 its reverse (100122110221001), we get a palindrome (200244121442002).

It can be divided in two parts, 1001220 and 11221001, that added together give a palindrome (12222221).

The spelling of 100122011221001 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, two hundred twenty-one thousand, one".