100012002201 has 24 divisors (see below), whose sum is σ = 153594276264. Its totient is φ = 62492221440.

The previous prime is 100012002187. The next prime is 100012002241. The reversal of 100012002201 is 102200210001.

It can be written as a sum of positive squares in 4 ways, for example, as 25496105625 + 74515896576 = 159675^2 + 272976^2 .

It is not a de Polignac number, because 100012002201 - 2⁷ = 100012002073 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100012002241) 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, 1319296 + ... + 1393041.

It is an arithmetic number, because the mean of its divisors is an integer number (6399761511).

Almost surely, 2^100012002201 is an apocalyptic number.

It is an amenable number.

100012002201 is a deficient number, since it is larger than the sum of its proper divisors (53582274063).

100012002201 is a wasteful number, since it uses less digits than its factorization.

100012002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712601 (or 2712598 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100012002201 its reverse (102200210001), we get a palindrome (202212212202).

The spelling of 100012002201 in words is "one hundred billion, twelve million, two thousand, two hundred one".