100122122202201 has 24 divisors (see below), whose sum is σ = 157866736341600. Its totient is φ = 60642172608000.

The previous prime is 100122122202199. The next prime is 100122122202203. The reversal of 100122122202201 is 102202221221001.

It is a happy number.

100122122202201 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 221 + 2 + 220 + 220 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (100122122202199) and next prime (100122122202203).

It is not a de Polignac number, because 100122122202201 - 2¹ = 100122122202199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122122202203) 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, 315686151 + ... + 316003148.

It is an arithmetic number, because the mean of its divisors is an integer number (6577780680900).

Almost surely, 2^{100122122202201} is an apocalyptic number.

100122122202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122122202201 is a deficient number, since it is larger than the sum of its proper divisors (57744614139399).

100122122202201 is a wasteful number, since it uses less digits than its factorization.

100122122202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631690917 (or 631690914 counting only the distinct ones).

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

Adding to 100122122202201 its reverse (102202221221001), we get a palindrome (202324343423202).

The spelling of 100122122202201 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred two thousand, two hundred one".