212100121122011 has 16 divisors (see below), whose sum is σ = 212681873664000. Its totient is φ = 211519202126400.

The previous prime is 212100121121989. The next prime is 212100121122041. The reversal of 212100121122011 is 110221121001212.

It is a cyclic number.

It is not a de Polignac number, because 212100121122011 - 2¹⁸ = 212100120859867 is a prime.

It is a super-2 number, since 2×212100121122011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212100121122041) 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, 6371461055 + ... + 6371494343.

It is an arithmetic number, because the mean of its divisors is an integer number (13292617104000).

Almost surely, 2^{212100121122011} is an apocalyptic number.

212100121122011 is a deficient number, since it is larger than the sum of its proper divisors (581752541989).

212100121122011 is a wasteful number, since it uses less digits than its factorization.

212100121122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45290.

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

Adding to 212100121122011 its reverse (110221121001212), we get a palindrome (322321242123223).

The spelling of 212100121122011 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-two thousand, eleven".