100122222210201 has 24 divisors (see below), whose sum is σ = 156862936385064. Its totient is φ = 61289547786240.

The previous prime is 100122222210191. The next prime is 100122222210251. The reversal of 100122222210201 is 102012222221001.

It is a happy number.

100122222210201 is a `hidden beast` number, since 10 + 0 + 1 + 22 + 222 + 210 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2023577375625 + 98098644834576 = 1422525^2 + 9904476^2 .

It is not a de Polignac number, because 100122222210201 - 2⁶ = 100122222210137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122222210251) 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, 7980403596 + ... + 7980416141.

It is an arithmetic number, because the mean of its divisors is an integer number (6535955682711).

Almost surely, 2^{100122222210201} is an apocalyptic number.

It is an amenable number.

100122222210201 is a deficient number, since it is larger than the sum of its proper divisors (56740714174863).

100122222210201 is a wasteful number, since it uses less digits than its factorization.

100122222210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15960819801 (or 15960819798 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122222210201 its reverse (102012222221001), we get a palindrome (202134444431202).

The spelling of 100122222210201 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred ten thousand, two hundred one".