100001120100201 has 96 divisors (see below), whose sum is σ = 159423646636800. Its totient is φ = 60183993047040.

The previous prime is 100001120100169. The next prime is 100001120100263. The reversal of 100001120100201 is 102001021100001.

It is a happy number.

It is not a de Polignac number, because 100001120100201 - 2⁵ = 100001120100169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100001120120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51767215 + ... + 53664203.

It is an arithmetic number, because the mean of its divisors is an integer number (1660662985800).

Almost surely, 2^{100001120100201} is an apocalyptic number.

It is an amenable number.

100001120100201 is a deficient number, since it is larger than the sum of its proper divisors (59422526536599).

100001120100201 is a wasteful number, since it uses less digits than its factorization.

100001120100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897231 (or 1897228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001120100201 its reverse (102001021100001), we get a palindrome (202002141200202).

The spelling of 100001120100201 in words is "one hundred trillion, one billion, one hundred twenty million, one hundred thousand, two hundred one".