211221011121001 has 16 divisors (see below), whose sum is σ = 247383128982528. Its totient is φ = 176559386400000.

The previous prime is 211221011120989. The next prime is 211221011121017. The reversal of 211221011121001 is 100121110122112.

It is a cyclic number.

It is not a de Polignac number, because 211221011121001 - 2¹⁵ = 211221011088233 is a prime.

It is a super-2 number, since 2×211221011121001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221011121041) 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, 148089625 + ... + 149509126.

It is an arithmetic number, because the mean of its divisors is an integer number (15461445561408).

Almost surely, 2^{211221011121001} is an apocalyptic number.

It is an amenable number.

211221011121001 is a deficient number, since it is larger than the sum of its proper divisors (36162117861527).

211221011121001 is a wasteful number, since it uses less digits than its factorization.

211221011121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297601272.

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

Adding to 211221011121001 its reverse (100121110122112), we get a palindrome (311342121243113).

The spelling of 211221011121001 in words is "two hundred eleven trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, one".