100201200100101 has 8 divisors (see below), whose sum is σ = 148446222370560. Its totient is φ = 66800800066716.

The previous prime is 100201200100061. The next prime is 100201200100117. The reversal of 100201200100101 is 101001002102001.

It is a happy number.

It is not a de Polignac number, because 100201200100101 - 2²¹ = 100201198002949 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201200100601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1855577779605 + ... + 1855577779658.

It is an arithmetic number, because the mean of its divisors is an integer number (18555777796320).

Almost surely, 2^{100201200100101} is an apocalyptic number.

It is an amenable number.

100201200100101 is a deficient number, since it is larger than the sum of its proper divisors (48245022270459).

100201200100101 is an equidigital number, since it uses as much as digits as its factorization.

100201200100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711155559272 (or 3711155559266 counting only the distinct ones).

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

Adding to 100201200100101 its reverse (101001002102001), we get a palindrome (201202202202102).

The spelling of 100201200100101 in words is "one hundred trillion, two hundred one billion, two hundred million, one hundred thousand, one hundred one".