2112211011100 has 18 divisors (see below), whose sum is σ = 4583497894304. Its totient is φ = 844884404400.

The previous prime is 2112211011091. The next prime is 2112211011101. The reversal of 2112211011100 is 11101122112.

It is a happy number.

It is a super-2 number, since 2×2112211011100² (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 (2112211011101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10561054956 + ... + 10561055155.

Almost surely, 2^{2112211011100} is an apocalyptic number.

2112211011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112211011100 is an abundant number, since it is smaller than the sum of its proper divisors (2471286883204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112211011100 is a wasteful number, since it uses less digits than its factorization.

2112211011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21122110125 (or 21122110118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2112211011100 its reverse (11101122112), we get a palindrome (2123312133212).

The spelling of 2112211011100 in words is "two trillion, one hundred twelve billion, two hundred eleven million, eleven thousand, one hundred".