201110100010101 has 96 divisors (see below), whose sum is σ = 301594736701440. Its totient is φ = 129002076403200.

The previous prime is 201110100010087. The next prime is 201110100010109. The reversal of 201110100010101 is 101010001011102.

It is not a de Polignac number, because 201110100010101 - 2¹⁴ = 201110099993717 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 (201110100010109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50952645610 + ... + 50952649556.

It is an arithmetic number, because the mean of its divisors is an integer number (3141611840640).

Almost surely, 2^{201110100010101} is an apocalyptic number.

It is an amenable number.

201110100010101 is a deficient number, since it is larger than the sum of its proper divisors (100484636691339).

201110100010101 is a wasteful number, since it uses less digits than its factorization.

201110100010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5764 counting only the distinct ones).

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

Adding to 201110100010101 its reverse (101010001011102), we get a palindrome (302120101021203).

The spelling of 201110100010101 in words is "two hundred one trillion, one hundred ten billion, one hundred million, ten thousand, one hundred one".