212011122121 has 12 divisors (see below), whose sum is σ = 221748032844. Its totient is φ = 202673576000.

The previous prime is 212011122101. The next prime is 212011122149. The reversal of 212011122121 is 121221110212.

It can be written as a sum of positive squares in 6 ways, for example, as 24075866896 + 187935255225 = 155164^2 + 433515^2 .

It is not a de Polignac number, because 212011122121 - 2¹³ = 212011113929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212011122095 and 212011122104.

It is not an unprimeable number, because it can be changed into a prime (212011122101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1163050 + ... + 1332931.

It is an arithmetic number, because the mean of its divisors is an integer number (18479002737).

Almost surely, 2^212011122121 is an apocalyptic number.

It is an amenable number.

212011122121 is a deficient number, since it is larger than the sum of its proper divisors (9736910723).

212011122121 is a wasteful number, since it uses less digits than its factorization.

212011122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496140 (or 2496111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212011122121 its reverse (121221110212), we get a palindrome (333232232333).

The spelling of 212011122121 in words is "two hundred twelve billion, eleven million, one hundred twenty-two thousand, one hundred twenty-one".