2211101122101 has 32 divisors (see below), whose sum is σ = 3032398258176. Its totient is φ = 1432234224000.

The previous prime is 2211101122099. The next prime is 2211101122129. The reversal of 2211101122101 is 1012211011122.

It is a happy number.

It is not a de Polignac number, because 2211101122101 - 2¹ = 2211101122099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211101122201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93020520 + ... + 93044286.

It is an arithmetic number, because the mean of its divisors is an integer number (94762445568).

Almost surely, 2^{2211101122101} is an apocalyptic number.

It is an amenable number.

2211101122101 is a deficient number, since it is larger than the sum of its proper divisors (821297136075).

2211101122101 is a wasteful number, since it uses less digits than its factorization.

2211101122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26873.

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

Adding to 2211101122101 its reverse (1012211011122), we get a palindrome (3223312133223).

The spelling of 2211101122101 in words is "two trillion, two hundred eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred one".