100201102100001 has 24 divisors (see below), whose sum is σ = 165701030324544. Its totient is φ = 57157496298720.

The previous prime is 100201102099927. The next prime is 100201102100083. The reversal of 100201102100001 is 100001201102001.

It is a happy number.

It is not a de Polignac number, because 100201102100001 - 2¹³ = 100201102091809 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 (100201102500001) 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, 1392690546 + ... + 1392762491.

It is an arithmetic number, because the mean of its divisors is an integer number (6904209596856).

Almost surely, 2^{100201102100001} is an apocalyptic number.

It is an amenable number.

100201102100001 is a deficient number, since it is larger than the sum of its proper divisors (65499928224543).

100201102100001 is a wasteful number, since it uses less digits than its factorization.

100201102100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785453621 (or 2785453618 counting only the distinct ones).

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

Adding to 100201102100001 its reverse (100001201102001), we get a palindrome (200202303202002).

The spelling of 100201102100001 in words is "one hundred trillion, two hundred one billion, one hundred two million, one hundred thousand, one".