100122201011201 has 16 divisors (see below), whose sum is σ = 108272100957696. Its totient is φ = 92223629431296.

The previous prime is 100122201011159. The next prime is 100122201011237. The reversal of 100122201011201 is 102110102221001.

It is a cyclic number.

It is not a de Polignac number, because 100122201011201 - 2¹⁰ = 100122201010177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122201011281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15374420 + ... + 20895386.

It is an arithmetic number, because the mean of its divisors is an integer number (6767006309856).

Almost surely, 2^{100122201011201} is an apocalyptic number.

It is an amenable number.

100122201011201 is a deficient number, since it is larger than the sum of its proper divisors (8149899946495).

100122201011201 is a wasteful number, since it uses less digits than its factorization.

100122201011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543728.

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

Adding to 100122201011201 its reverse (102110102221001), we get a palindrome (202232303232202).

The spelling of 100122201011201 in words is "one hundred trillion, one hundred twenty-two billion, two hundred one million, eleven thousand, two hundred one".