2112121100211 has 16 divisors (see below), whose sum is σ = 2876246054400. Its totient is φ = 1378041903648.

The previous prime is 2112121100207. The next prime is 2112121100263. The reversal of 2112121100211 is 1120011212112.

It is a happy number.

It is not a de Polignac number, because 2112121100211 - 2² = 2112121100207 is a prime.

It is a super-2 number, since 2×2112121100211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112121107211) 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, 2065785 + ... + 2914053.

It is an arithmetic number, because the mean of its divisors is an integer number (179765378400).

Almost surely, 2^{2112121100211} is an apocalyptic number.

2112121100211 is a deficient number, since it is larger than the sum of its proper divisors (764124954189).

2112121100211 is a wasteful number, since it uses less digits than its factorization.

2112121100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865978.

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

Adding to 2112121100211 its reverse (1120011212112), we get a palindrome (3232132312323).

The spelling of 2112121100211 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred thousand, two hundred eleven".