2121111120001 has 32 divisors (see below), whose sum is σ = 2314694073888. Its totient is φ = 1935786639360.

The previous prime is 2121111119989. The next prime is 2121111120013. The reversal of 2121111120001 is 1000211111212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2121111119989) and next prime (2121111120013).

It can be written as a sum of positive squares in 16 ways, for example, as 886958986225 + 1234152133776 = 941785^2 + 1110924^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121111120001 - 2⁵ = 2121111119969 is a prime.

It is a super-2 number, since 2×2121111120001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121111120041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160476945 + ... + 160490161.

It is an arithmetic number, because the mean of its divisors is an integer number (72334189809).

Almost surely, 2^{2121111120001} is an apocalyptic number.

It is an amenable number.

2121111120001 is a deficient number, since it is larger than the sum of its proper divisors (193582953887).

2121111120001 is a wasteful number, since it uses less digits than its factorization.

2121111120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14661.

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

Adding to 2121111120001 its reverse (1000211111212), we get a palindrome (3121322231213).

The spelling of 2121111120001 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty thousand, one".