211121020001201 has 16 divisors (see below), whose sum is σ = 216339972197328. Its totient is φ = 205905391180800.

The previous prime is 211121020001081. The next prime is 211121020001209. The reversal of 211121020001201 is 102100020121112.

It can be written as a sum of positive squares in 8 ways, for example, as 793408840225 + 210327611160976 = 890735^2 + 14502676^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121020001201 - 2¹⁴ = 211121019984817 is a prime.

It is a super-3 number, since 3×211121020001201³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211121020001209) 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, 5075369735 + ... + 5075411331.

It is an arithmetic number, because the mean of its divisors is an integer number (13521248262333).

Almost surely, 2^{211121020001201} is an apocalyptic number.

It is an amenable number.

211121020001201 is a deficient number, since it is larger than the sum of its proper divisors (5218952196127).

211121020001201 is a wasteful number, since it uses less digits than its factorization.

211121020001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78532.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211121020001201 its reverse (102100020121112), we get a palindrome (313221040122313).

The spelling of 211121020001201 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty million, one thousand, two hundred one".