2111011201101 has 16 divisors (see below), whose sum is σ = 3100963353408. Its totient is φ = 1266733392000.

The previous prime is 2111011201093. The next prime is 2111011201111. The reversal of 2111011201101 is 1011021101112.

It is not a de Polignac number, because 2111011201101 - 2³ = 2111011201093 is a prime.

It is a super-2 number, since 2×2111011201101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111011201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316680016 + ... + 316686681.

It is an arithmetic number, because the mean of its divisors is an integer number (193810209588).

Almost surely, 2^{2111011201101} is an apocalyptic number.

It is an amenable number.

2111011201101 is a deficient number, since it is larger than the sum of its proper divisors (989952152307).

2111011201101 is a wasteful number, since it uses less digits than its factorization.

2111011201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633366812.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2111011201101 its reverse (1011021101112), we get a palindrome (3122032302213).

It can be divided in two parts, 21110 and 11201101, that added together give a palindrome (11222211).

The spelling of 2111011201101 in words is "two trillion, one hundred eleven billion, eleven million, two hundred one thousand, one hundred one".