201101020101101 has 16 divisors (see below), whose sum is σ = 216273907538496. Its totient is φ = 186303946135296.

The previous prime is 201101020101073. The next prime is 201101020101133. The reversal of 201101020101101 is 101101020101102.

It is a cyclic number.

It is not a de Polignac number, because 201101020101101 - 2²⁶ = 201100952992237 is a prime.

It is a super-2 number, since 2×201101020101101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101020101151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66055046 + ... + 69032391.

It is an arithmetic number, because the mean of its divisors is an integer number (13517119221156).

Almost surely, 2^{201101020101101} is an apocalyptic number.

It is an amenable number.

201101020101101 is a deficient number, since it is larger than the sum of its proper divisors (15172887437395).

201101020101101 is a wasteful number, since it uses less digits than its factorization.

201101020101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135088828.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 201101020101101 its reverse (101101020101102), we get a palindrome (302202040202203).

Subtracting from 201101020101101 its reverse (101101020101102), we obtain a palindrome (99999999999999).

The spelling of 201101020101101 in words is "two hundred one trillion, one hundred one billion, twenty million, one hundred one thousand, one hundred one".