2120002121011 has 8 divisors (see below), whose sum is σ = 2133895581920. Its totient is φ = 2106113600448.

The previous prime is 2120002120997. The next prime is 2120002121047. The reversal of 2120002121011 is 1101212000212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2120002121011 - 2¹⁷ = 2120001989939 is a prime.

It is a super-2 number, since 2×2120002121011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120002120982 and 2120002121000.

It is not an unprimeable number, because it can be changed into a prime (2120002121411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372066 + ... + 2092471.

It is an arithmetic number, because the mean of its divisors is an integer number (266736947740).

Almost surely, 2^{2120002121011} is an apocalyptic number.

2120002121011 is a deficient number, since it is larger than the sum of its proper divisors (13893460909).

2120002121011 is a wasteful number, since it uses less digits than its factorization.

2120002121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470173.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2120002121011 its reverse (1101212000212), we get a palindrome (3221214121223).

The spelling of 2120002121011 in words is "two trillion, one hundred twenty billion, two million, one hundred twenty-one thousand, eleven".