100201012000201 has 12 divisors (see below), whose sum is σ = 116561189513748. Its totient is φ = 85885971155712.

The previous prime is 100201012000171. The next prime is 100201012000231. The reversal of 100201012000201 is 102000210102001.

It is an interprime number because it is at equal distance from previous prime (100201012000171) and next prime (100201012000231).

It can be written as a sum of positive squares in 2 ways, for example, as 61863628176 + 100139148372025 = 248724^2 + 10006955^2 .

It is not a de Polignac number, because 100201012000201 - 2³³ = 100192422065609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100201012000231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236736 + ... + 14158321.

It is an arithmetic number, because the mean of its divisors is an integer number (9713432459479).

Almost surely, 2^{100201012000201} is an apocalyptic number.

It is an amenable number.

100201012000201 is a deficient number, since it is larger than the sum of its proper divisors (16360177513547).

100201012000201 is a wasteful number, since it uses less digits than its factorization.

100201012000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14537128 (or 14537121 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100201012000201 its reverse (102000210102001), we get a palindrome (202201222102202).

The spelling of 100201012000201 in words is "one hundred trillion, two hundred one billion, twelve million, two hundred one", and thus it is an aban number.