100122021122201 has 8 divisors (see below), whose sum is σ = 107831322937800. Its totient is φ = 92413806147072.

The previous prime is 100122021122077. The next prime is 100122021122237. The reversal of 100122021122201 is 102221120221001.

It can be written as a sum of positive squares in 4 ways, for example, as 48930514651225 + 51191506470976 = 6995035^2 + 7154824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100122021122201 - 2¹⁴ = 100122021105817 is a prime.

It is a super-2 number, since 2×100122021122201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100122021122201.

It is not an unprimeable number, because it can be changed into a prime (100122021122701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271518776 + ... + 271887273.

It is an arithmetic number, because the mean of its divisors is an integer number (13478915367225).

Almost surely, 2^{100122021122201} is an apocalyptic number.

It is an amenable number.

100122021122201 is a deficient number, since it is larger than the sum of its proper divisors (7709301815599).

100122021122201 is a wasteful number, since it uses less digits than its factorization.

100122021122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543420235.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100122021122201 its reverse (102221120221001), we get a palindrome (202343141343202).

The spelling of 100122021122201 in words is "one hundred trillion, one hundred twenty-two billion, twenty-one million, one hundred twenty-two thousand, two hundred one".