2112112101122 has 8 divisors (see below), whose sum is σ = 3170295871500. Its totient is φ = 1055346810624.

The previous prime is 2112112101103. The next prime is 2112112101131. The reversal of 2112112101122 is 2211012112112.

It can be written as a sum of positive squares in 2 ways, for example, as 1738044085801 + 374068015321 = 1318349^2 + 611611^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×2112112101122² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112112101122.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 354616247 + ... + 354622202.

Almost surely, 2^{2112112101122} is an apocalyptic number.

2112112101122 is a deficient number, since it is larger than the sum of its proper divisors (1058183770378).

2112112101122 is a wasteful number, since it uses less digits than its factorization.

2112112101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709239940.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2112112101122 its reverse (2211012112112), we get a palindrome (4323124213234).

The spelling of 2112112101122 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred one thousand, one hundred twenty-two".