100201001100201 has 48 divisors (see below), whose sum is σ = 150153633197568. Its totient is φ = 64321640870400.

The previous prime is 100201001100157. The next prime is 100201001100229. The reversal of 100201001100201 is 102001100102001.

It is a happy number.

It is not a de Polignac number, because 100201001100201 - 2¹¹ = 100201001098153 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 (100201001100241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103192881 + ... + 104159361.

It is an arithmetic number, because the mean of its divisors is an integer number (3128200691616).

Almost surely, 2^{100201001100201} is an apocalyptic number.

It is an amenable number.

100201001100201 is a deficient number, since it is larger than the sum of its proper divisors (49952632097367).

100201001100201 is a wasteful number, since it uses less digits than its factorization.

100201001100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968382 (or 968379 counting only the distinct ones).

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

Adding to 100201001100201 its reverse (102001100102001), we get a palindrome (202202101202202).

The spelling of 100201001100201 in words is "one hundred trillion, two hundred one billion, one million, one hundred thousand, two hundred one".