201010100110101 has 6 divisors (see below), whose sum is σ = 290347922381270. Its totient is φ = 134006733406728.

The previous prime is 201010100110051. The next prime is 201010100110117. The reversal of 201010100110101 is 101011001010102.

201010100110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 109870122791025 + 91139977319076 = 10481895^2 + 9546726^2 .

It is not a de Polignac number, because 201010100110101 - 2¹⁸ = 201010099847957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 22334455567789 = 201010100110101 / (2 + 0 + 1 + 0 + 1 + 0 + 1 + 0 + 0 + 1 + 1 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010100110121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11167227783886 + ... + 11167227783903.

Almost surely, 2^{201010100110101} is an apocalyptic number.

It is an amenable number.

201010100110101 is a deficient number, since it is larger than the sum of its proper divisors (89337822271169).

201010100110101 is a wasteful number, since it uses less digits than its factorization.

201010100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22334455567795 (or 22334455567792 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 201010100110101 its reverse (101011001010102), we get a palindrome (302021101120203).

Subtracting from 201010100110101 its reverse (101011001010102), we obtain a palindrome (99999099099999).

The spelling of 201010100110101 in words is "two hundred one trillion, ten billion, one hundred million, one hundred ten thousand, one hundred one".