100001121122201 has 32 divisors (see below), whose sum is σ = 110756760602880. Its totient is φ = 89729438045184.

The previous prime is 100001121122191. The next prime is 100001121122219. The reversal of 100001121122201 is 102221121100001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001121122201 is a prime.

It is a super-2 number, since 2×100001121122201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001121122101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15305036 + ... + 20838578.

It is an arithmetic number, because the mean of its divisors is an integer number (3461148768840).

Almost surely, 2^{100001121122201} is an apocalyptic number.

It is an amenable number.

100001121122201 is a deficient number, since it is larger than the sum of its proper divisors (10755639480679).

100001121122201 is a wasteful number, since it uses less digits than its factorization.

100001121122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533905.

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

Adding to 100001121122201 its reverse (102221121100001), we get a palindrome (202222242222202).

The spelling of 100001121122201 in words is "one hundred trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred one".