201200000101101 has 24 divisors (see below), whose sum is σ = 305739333900000. Its totient is φ = 127312994404512.

The previous prime is 201200000101091. The next prime is 201200000101157. The reversal of 201200000101101 is 101101000002102.

It is a happy number.

It is not a de Polignac number, because 201200000101101 - 2¹⁷ = 201199999970029 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 (201200005101101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6532876351 + ... + 6532907148.

It is an arithmetic number, because the mean of its divisors is an integer number (12739138912500).

Almost surely, 2^{201200000101101} is an apocalyptic number.

It is an amenable number.

201200000101101 is a deficient number, since it is larger than the sum of its proper divisors (104539333798899).

201200000101101 is a wasteful number, since it uses less digits than its factorization.

201200000101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13065783593 (or 13065783590 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201200000101101 its reverse (101101000002102), we get a palindrome (302301000103203).

The spelling of 201200000101101 in words is "two hundred one trillion, two hundred billion, one hundred one thousand, one hundred one".