212121022121001 has 18 divisors (see below), whose sum is σ = 356421037170042. Its totient is φ = 121212012640320.

The previous prime is 212121022120981. The next prime is 212121022121033. The reversal of 212121022121001 is 100121220121212.

212121022121001 is a `hidden beast` number, since 2 + 1 + 21 + 210 + 221 + 210 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122220188744976 + 89900833376025 = 11055324^2 + 9481605^2 .

It is not a de Polignac number, because 212121022121001 - 2¹³ = 212121022112809 is a prime.

It is a super-3 number, since 3×212121022121001³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212121022121101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 240500024640 + ... + 240500025521.

It is an arithmetic number, because the mean of its divisors is an integer number (19801168731669).

Almost surely, 2^{212121022121001} is an apocalyptic number.

212121022121001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212121022121001 is a deficient number, since it is larger than the sum of its proper divisors (144300015049041).

212121022121001 is a wasteful number, since it uses less digits than its factorization.

212121022121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481000050181 (or 481000050171 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212121022121001 its reverse (100121220121212), we get a palindrome (312242242242213).

The spelling of 212121022121001 in words is "two hundred twelve trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty-one thousand, one".