2001101122120 has 32 divisors (see below), whose sum is σ = 4503049831800. Its totient is φ = 800338705408.

The previous prime is 2001101122103. The next prime is 2001101122171. The reversal of 2001101122120 is 212211011002.

It can be written as a sum of positive squares in 4 ways, for example, as 1373269921956 + 627831200164 = 1171866^2 + 792358^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2001101122120.

It is an unprimeable number.

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, 2860465 + ... + 3490624.

Almost surely, 2^{2001101122120} is an apocalyptic number.

2001101122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001101122120 is an abundant number, since it is smaller than the sum of its proper divisors (2501948709680).

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

2001101122120 is a wasteful number, since it uses less digits than its factorization.

2001101122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358977 (or 6358973 counting only the distinct ones).

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

Adding to 2001101122120 its reverse (212211011002), we get a palindrome (2213312133122).

The spelling of 2001101122120 in words is "two trillion, one billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".