2121120111201 has 64 divisors (see below), whose sum is σ = 3579599095296. Its totient is φ = 1087159449600.

The previous prime is 2121120111139. The next prime is 2121120111221. The reversal of 2121120111201 is 1021110211212.

It is a happy number.

It is not a de Polignac number, because 2121120111201 - 2¹⁵ = 2121120078433 is a prime.

It is a super-2 number, since 2×2121120111201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121120111221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7548891 + ... + 7824831.

It is an arithmetic number, because the mean of its divisors is an integer number (55931235864).

Almost surely, 2^{2121120111201} is an apocalyptic number.

2121120111201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2121120111201 is a deficient number, since it is larger than the sum of its proper divisors (1458478984095).

2121120111201 is a wasteful number, since it uses less digits than its factorization.

2121120111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276762.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2121120111201 its reverse (1021110211212), we get a palindrome (3142230322413).

The spelling of 2121120111201 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred eleven thousand, two hundred one".