2121100211112 has 16 divisors (see below), whose sum is σ = 5302750527840. Its totient is φ = 707033403696.

The previous prime is 2121100211071. The next prime is 2121100211129. The reversal of 2121100211112 is 2111120011212.

It is a happy number.

It is a super-2 number, since 2×2121100211112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121100211091 and 2121100211100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44189587708 + ... + 44189587755.

It is an arithmetic number, because the mean of its divisors is an integer number (331421907990).

Almost surely, 2^{2121100211112} is an apocalyptic number.

It is an amenable number.

2121100211112 is an abundant number, since it is smaller than the sum of its proper divisors (3181650316728).

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

2121100211112 is a wasteful number, since it uses less digits than its factorization.

2121100211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88379175472 (or 88379175468 counting only the distinct ones).

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

Adding to 2121100211112 its reverse (2111120011212), we get a palindrome (4232220222324).

The spelling of 2121100211112 in words is "two trillion, one hundred twenty-one billion, one hundred million, two hundred eleven thousand, one hundred twelve".