2121011002120 has 32 divisors (see below), whose sum is σ = 4776157920600. Its totient is φ = 847714060288.

The previous prime is 2121011002081. The next prime is 2121011002127. The reversal of 2121011002120 is 212001101212.

It can be written as a sum of positive squares in 4 ways, for example, as 2115506252484 + 5504749636 = 1454478^2 + 74194^2 .

It is a super-2 number, since 2×2121011002120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2121011002120.

It is not an unprimeable number, because it can be changed into a prime (2121011002127) 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 7 ways as a sum of consecutive naturals, for example, 21523369 + ... + 21621688.

Almost surely, 2^{2121011002120} is an apocalyptic number.

2121011002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121011002120 is an abundant number, since it is smaller than the sum of its proper divisors (2655146918480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121011002120 is a wasteful number, since it uses less digits than its factorization.

2121011002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43146297 (or 43146293 counting only the distinct ones).

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

Adding to 2121011002120 its reverse (212001101212), we get a palindrome (2333012103332).

The spelling of 2121011002120 in words is "two trillion, one hundred twenty-one billion, eleven million, two thousand, one hundred twenty".