2120001110010 has 320 divisors, whose sum is σ = 6918408288000. Its totient is φ = 455002748928.

The previous prime is 2120001109997. The next prime is 2120001110021. The reversal of 2120001110010 is 100111000212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120001109974 and 2120001110001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12086416 + ... + 12260564.

It is an arithmetic number, because the mean of its divisors is an integer number (21620025900).

Almost surely, 2^{2120001110010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120001110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459204144000).

2120001110010 is an abundant number, since it is smaller than the sum of its proper divisors (4798407177990).

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

2120001110010 is a wasteful number, since it uses less digits than its factorization.

2120001110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174307 (or 174298 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2120001110010 its reverse (100111000212), we get a palindrome (2220112110222).

The spelling of 2120001110010 in words is "two trillion, one hundred twenty billion, one million, one hundred ten thousand, ten".