201020101111011 has 128 divisors (see below), whose sum is σ = 341083072884736. Its totient is φ = 102471423805440.

The previous prime is 201020101111001. The next prime is 201020101111021. The reversal of 201020101111011 is 110111101020102.

It is an interprime number because it is at equal distance from previous prime (201020101111001) and next prime (201020101111021).

It is not a de Polignac number, because 201020101111011 - 2⁵ = 201020101110979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201020101111001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1504608465 + ... + 1504742061.

It is an arithmetic number, because the mean of its divisors is an integer number (2664711506912).

Almost surely, 2^{201020101111011} is an apocalyptic number.

201020101111011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201020101111011 is a deficient number, since it is larger than the sum of its proper divisors (140062971773725).

201020101111011 is a wasteful number, since it uses less digits than its factorization.

201020101111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134661.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 201020101111011 its reverse (110111101020102), we get a palindrome (311131202131113).

Subtracting from 201020101111011 its reverse (110111101020102), we obtain a palindrome (90909000090909).

The spelling of 201020101111011 in words is "two hundred one trillion, twenty billion, one hundred one million, one hundred eleven thousand, eleven".