201000100111101 has 72 divisors (see below), whose sum is σ = 319852095099264. Its totient is φ = 126112690851840.

The previous prime is 201000100111093. The next prime is 201000100111117. The reversal of 201000100111101 is 101111001000102.

It is not a de Polignac number, because 201000100111101 - 2³ = 201000100111093 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 (201000100111801) 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 71 ways as a sum of consecutive naturals, for example, 2628066781 + ... + 2628143261.

It is an arithmetic number, because the mean of its divisors is an integer number (4442390209712).

Almost surely, 2^{201000100111101} is an apocalyptic number.

It is an amenable number.

201000100111101 is a deficient number, since it is larger than the sum of its proper divisors (118851994988163).

201000100111101 is an equidigital number, since it uses as much as digits as its factorization.

201000100111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113953 (or 113924 counting only the distinct ones).

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

Adding to 201000100111101 its reverse (101111001000102), we get a palindrome (302111101111203).

The spelling of 201000100111101 in words is "two hundred one trillion, one hundred million, one hundred eleven thousand, one hundred one".