2011100223111 has 16 divisors (see below), whose sum is σ = 3071847609600. Its totient is φ = 1146457401408.

The previous prime is 2011100223107. The next prime is 2011100223191. The reversal of 2011100223111 is 1113220011102.

It is not a de Polignac number, because 2011100223111 - 2² = 2011100223107 is a prime.

It is a super-2 number, since 2×2011100223111² (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 (2011100223191) 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, 114271246 + ... + 114288843.

It is an arithmetic number, because the mean of its divisors is an integer number (191990475600).

Almost surely, 2^{2011100223111} is an apocalyptic number.

2011100223111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2011100223111 is a deficient number, since it is larger than the sum of its proper divisors (1060747386489).

2011100223111 is a wasteful number, since it uses less digits than its factorization.

2011100223111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228560518.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2011100223111 its reverse (1113220011102), we get a palindrome (3124320234213).

The spelling of 2011100223111 in words is "two trillion, eleven billion, one hundred million, two hundred twenty-three thousand, one hundred eleven".