201013101201111 has 16 divisors (see below), whose sum is σ = 271029536628480. Its totient is φ = 132502707022400.

The previous prime is 201013101201013. The next prime is 201013101201119. The reversal of 201013101201111 is 111102101310102.

201013101201111 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 201013101201111 - 2⁷ = 201013101200983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201013101201119) 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, 190900876 + ... + 191950958.

It is an arithmetic number, because the mean of its divisors is an integer number (16939346039280).

Almost surely, 2^{201013101201111} is an apocalyptic number.

201013101201111 is a deficient number, since it is larger than the sum of its proper divisors (70016435427369).

201013101201111 is a wasteful number, since it uses less digits than its factorization.

201013101201111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767126.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 201013101201111 its reverse (111102101310102), we get a palindrome (312115202511213).

The spelling of 201013101201111 in words is "two hundred one trillion, thirteen billion, one hundred one million, two hundred one thousand, one hundred eleven".