2101221001120 has 96 divisors (see below), whose sum is σ = 5342309226576. Its totient is φ = 778079846400.

The previous prime is 2101221001063. The next prime is 2101221001141. The reversal of 2101221001120 is 211001221012.

It can be written as a sum of positive squares in 8 ways, for example, as 77669230864 + 2023551770256 = 278692^2 + 1422516^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2101221001120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6166111 + ... + 6497950.

Almost surely, 2^{2101221001120} is an apocalyptic number.

2101221001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101221001120 is an abundant number, since it is smaller than the sum of its proper divisors (3241088225456).

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

2101221001120 is a wasteful number, since it uses less digits than its factorization.

2101221001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664154 (or 12664146 counting only the distinct ones).

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

Adding to 2101221001120 its reverse (211001221012), we get a palindrome (2312222222132).

The spelling of 2101221001120 in words is "two trillion, one hundred one billion, two hundred twenty-one million, one thousand, one hundred twenty".