2211201112101 has 16 divisors (see below), whose sum is σ = 3257421588864. Its totient is φ = 1327097682944.

The previous prime is 2211201112073. The next prime is 2211201112129. The reversal of 2211201112101 is 1012111021122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2211201112073) and next prime (2211201112129).

It is a cyclic number.

It is not a de Polignac number, because 2211201112101 - 2¹⁴ = 2211201095717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211201112151) 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, 942539796 + ... + 942542141.

It is an arithmetic number, because the mean of its divisors is an integer number (203588849304).

Almost surely, 2^{2211201112101} is an apocalyptic number.

It is an amenable number.

2211201112101 is a deficient number, since it is larger than the sum of its proper divisors (1046220476763).

2211201112101 is a wasteful number, since it uses less digits than its factorization.

2211201112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885081980.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2211201112101 its reverse (1012111021122), we get a palindrome (3223312133223).

The spelling of 2211201112101 in words is "two trillion, two hundred eleven billion, two hundred one million, one hundred twelve thousand, one hundred one".