2211011101101 has 16 divisors (see below), whose sum is σ = 3230437754880. Its totient is φ = 1333997724720.

The previous prime is 2211011101093. The next prime is 2211011101139. The reversal of 2211011101101 is 1011011101122.

It is not a de Polignac number, because 2211011101101 - 2³ = 2211011101093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211011101151) 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, 150217611 + ... + 150232328.

It is an arithmetic number, because the mean of its divisors is an integer number (201902359680).

Almost surely, 2^{2211011101101} is an apocalyptic number.

It is an amenable number.

2211011101101 is a deficient number, since it is larger than the sum of its proper divisors (1019426653779).

2211011101101 is a wasteful number, since it uses less digits than its factorization.

2211011101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300450176.

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

Adding to 2211011101101 its reverse (1011011101122), we get a palindrome (3222022202223).

The spelling of 2211011101101 in words is "two trillion, two hundred eleven billion, eleven million, one hundred one thousand, one hundred one".