2111120101201 has 16 divisors (see below), whose sum is σ = 2331867288960. Its totient is φ = 1904358234240.

The previous prime is 2111120101159. The next prime is 2111120101213. The reversal of 2111120101201 is 1021010211112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2111120101201 - 2¹⁵ = 2111120068433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111120101241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36774780 + ... + 36832141.

It is an arithmetic number, because the mean of its divisors is an integer number (145741705560).

Almost surely, 2^{2111120101201} is an apocalyptic number.

It is an amenable number.

2111120101201 is a deficient number, since it is larger than the sum of its proper divisors (220747187759).

2111120101201 is a wasteful number, since it uses less digits than its factorization.

2111120101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73607016.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2111120101201 its reverse (1021010211112), we get a palindrome (3132130312313).

The spelling of 2111120101201 in words is "two trillion, one hundred eleven billion, one hundred twenty million, one hundred one thousand, two hundred one".