2121001201111 has 16 divisors (see below), whose sum is σ = 2327486374080. Its totient is φ = 1920713633280.

The previous prime is 2121001201049. The next prime is 2121001201141. The reversal of 2121001201111 is 1111021001212.

It is a happy number.

It is not a de Polignac number, because 2121001201111 - 2¹¹ = 2121001199063 is a prime.

It is a super-3 number, since 3×2121001201111³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121001201091 and 2121001201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121001201141) 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, 6939526 + ... + 7238716.

It is an arithmetic number, because the mean of its divisors is an integer number (145467898380).

Almost surely, 2^{2121001201111} is an apocalyptic number.

2121001201111 is a deficient number, since it is larger than the sum of its proper divisors (206485172969).

2121001201111 is a wasteful number, since it uses less digits than its factorization.

2121001201111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309546.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2121001201111 its reverse (1111021001212), we get a palindrome (3232022202323).

The spelling of 2121001201111 in words is "two trillion, one hundred twenty-one billion, one million, two hundred one thousand, one hundred eleven".