201020111020101 has 32 divisors (see below), whose sum is σ = 269518085710848. Its totient is φ = 133269289028480.

The previous prime is 201020111020073. The next prime is 201020111020121. The reversal of 201020111020101 is 101020111020102.

It is a cyclic number.

It is not a de Polignac number, because 201020111020101 - 2²³ = 201020102631493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020111020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3422929600 + ... + 3422988326.

It is an arithmetic number, because the mean of its divisors is an integer number (8422440178464).

Almost surely, 2^{201020111020101} is an apocalyptic number.

It is an amenable number.

201020111020101 is a deficient number, since it is larger than the sum of its proper divisors (68497974690747).

201020111020101 is a wasteful number, since it uses less digits than its factorization.

201020111020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65081.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201020111020101 its reverse (101020111020102), we get a palindrome (302040222040203).

Subtracting from 201020111020101 its reverse (101020111020102), we obtain a palindrome (99999999999999).

It can be divided in two parts, 20102011 and 1020101, that added together give a palindrome (21122112).

The spelling of 201020111020101 in words is "two hundred one trillion, twenty billion, one hundred eleven million, twenty thousand, one hundred one".