1012001001120 has 120 divisors (see below), whose sum is σ = 3571520245524. Its totient is φ = 269866930176.

The previous prime is 1012001001017. The next prime is 1012001001131. The reversal of 1012001001120 is 211001002101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 956789160336 + 55211840784 = 978156^2 + 234972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39030289 + ... + 39056208.

Almost surely, 2^{1012001001120} is an apocalyptic number.

1012001001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012001001120 is an abundant number, since it is smaller than the sum of its proper divisors (2559519244404).

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

1012001001120 is an equidigital number, since it uses as much as digits as its factorization.

1012001001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78086524 (or 78086507 counting only the distinct ones).

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

Adding to 1012001001120 its reverse (211001002101), we get a palindrome (1223002003221).

The spelling of 1012001001120 in words is "one trillion, twelve billion, one million, one thousand, one hundred twenty".