201001111111101 has 32 divisors (see below), whose sum is σ = 316864345303296. Its totient is φ = 110946899520000.

The previous prime is 201001111111037. The next prime is 201001111111111. The reversal of 201001111111101 is 101111111100102.

It is not a de Polignac number, because 201001111111101 - 2⁶ = 201001111111037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001111111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155609910 + ... + 1155783831.

It is an arithmetic number, because the mean of its divisors is an integer number (9902010790728).

Almost surely, 2^{201001111111101} is an apocalyptic number.

201001111111101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201001111111101 is a deficient number, since it is larger than the sum of its proper divisors (115863234192195).

201001111111101 is a wasteful number, since it uses less digits than its factorization.

201001111111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311393893.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 201001111111101 its reverse (101111111100102), we get a palindrome (302112222211203).

It can be divided in two parts, 20100111 and 1111101, that added together give a palindrome (21211212).

The spelling of 201001111111101 in words is "two hundred one trillion, one billion, one hundred eleven million, one hundred eleven thousand, one hundred one".