2112121000211 has 16 divisors (see below), whose sum is σ = 2278810037760. Its totient is φ = 1951575832800.

The previous prime is 2112121000181. The next prime is 2112121000219. The reversal of 2112121000211 is 1120001212112.

It is a cyclic number.

It is not a de Polignac number, because 2112121000211 - 2¹⁰ = 2112120999187 is a prime.

It is a super-2 number, since 2×2112121000211² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112121000219) 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, 8085131 + ... + 8342276.

It is an arithmetic number, because the mean of its divisors is an integer number (142425627360).

Almost surely, 2^{2112121000211} is an apocalyptic number.

2112121000211 is a deficient number, since it is larger than the sum of its proper divisors (166689037549).

2112121000211 is a wasteful number, since it uses less digits than its factorization.

2112121000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16427594.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2112121000211 its reverse (1120001212112), we get a palindrome (3232122212323).

The spelling of 2112121000211 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven", and thus it is an aban number.