201002110101 has 24 divisors (see below), whose sum is σ = 312685112376. Its totient is φ = 123687607680.

The previous prime is 201002110097. The next prime is 201002110109. The reversal of 201002110101 is 101011200102.

It is a happy number.

201002110101 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 4 ways, for example, as 34741232100 + 166260878001 = 186390^2 + 407751^2 .

It is not a de Polignac number, because 201002110101 - 2² = 201002110097 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 (201002110109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4363771 + ... + 4409591.

It is an arithmetic number, because the mean of its divisors is an integer number (13028546349).

Almost surely, 2^201002110101 is an apocalyptic number.

It is an amenable number.

201002110101 is a deficient number, since it is larger than the sum of its proper divisors (111683002275).

201002110101 is a wasteful number, since it uses less digits than its factorization.

201002110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83333 (or 83330 counting only the distinct ones).

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

Adding to 201002110101 its reverse (101011200102), we get a palindrome (302013310203).

Subtracting from 201002110101 its reverse (101011200102), we obtain a palindrome (99990909999).

The spelling of 201002110101 in words is "two hundred one billion, two million, one hundred ten thousand, one hundred one".