212011101001121 has 16 divisors (see below), whose sum is σ = 226045292390400. Its totient is φ = 198265623426000.

The previous prime is 212011101001039. The next prime is 212011101001211. The reversal of 212011101001121 is 121100101110212.

It is a cyclic number.

It is not a de Polignac number, because 212011101001121 - 2¹⁴ = 212011100984737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212011101001096 and 212011101001105.

It is not an unprimeable number, because it can be changed into a prime (212011101004121) 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, 9185885 + ... + 22547786.

It is an arithmetic number, because the mean of its divisors is an integer number (14127830774400).

Almost surely, 2^{212011101001121} is an apocalyptic number.

It is an amenable number.

212011101001121 is a deficient number, since it is larger than the sum of its proper divisors (14034191389279).

212011101001121 is a wasteful number, since it uses less digits than its factorization.

212011101001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31738220.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 212011101001121 its reverse (121100101110212), we get a palindrome (333111202111333).

The spelling of 212011101001121 in words is "two hundred twelve trillion, eleven billion, one hundred one million, one thousand, one hundred twenty-one".