201101000101101 has 24 divisors (see below), whose sum is σ = 290540206700640. Its totient is φ = 134039189835936.

The previous prime is 201101000101031. The next prime is 201101000101103. The reversal of 201101000101101 is 101101000101102.

It is not a de Polignac number, because 201101000101101 - 2²⁹ = 201100463230189 is a prime.

It is a super-2 number, since 2×201101000101101² (a number of 29 digits) contains 22 as substring.

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 (201101000101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857130915 + ... + 857365503.

It is an arithmetic number, because the mean of its divisors is an integer number (12105841945860).

Almost surely, 2^{201101000101101} is an apocalyptic number.

It is an amenable number.

201101000101101 is a deficient number, since it is larger than the sum of its proper divisors (89439206599539).

201101000101101 is a wasteful number, since it uses less digits than its factorization.

201101000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254185 (or 254182 counting only the distinct ones).

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

Adding to 201101000101101 its reverse (101101000101102), we get a palindrome (302202000202203).

Subtracting from 201101000101101 its reverse (101101000101102), we obtain a palindrome (99999999999999).

The spelling of 201101000101101 in words is "two hundred one trillion, one hundred one billion, one hundred one thousand, one hundred one".