2011112022101 has 16 divisors (see below), whose sum is σ = 2477931929088. Its totient is φ = 1589462784000.

The previous prime is 2011112022071. The next prime is 2011112022109. The reversal of 2011112022101 is 1012202111102.

It is not a de Polignac number, because 2011112022101 - 2³⁴ = 1993932152917 is a prime.

It is a super-2 number, since 2×2011112022101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011112022109) 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, 12046700 + ... + 12212501.

It is an arithmetic number, because the mean of its divisors is an integer number (154870745568).

Almost surely, 2^{2011112022101} is an apocalyptic number.

It is an amenable number.

2011112022101 is a deficient number, since it is larger than the sum of its proper divisors (466819906987).

2011112022101 is a wasteful number, since it uses less digits than its factorization.

2011112022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24260132.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011112022101 its reverse (1012202111102), we get a palindrome (3023314133203).

The spelling of 2011112022101 in words is "two trillion, eleven billion, one hundred twelve million, twenty-two thousand, one hundred one".