1001121103120 has 20 divisors (see below), whose sum is σ = 2327606564940. Its totient is φ = 400448441216.

The previous prime is 1001121103093. The next prime is 1001121103153. The reversal of 1001121103120 is 213011211001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 141836598544 + 859284504576 = 376612^2 + 926976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1001121103120² (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 1001121103120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6257006815 + ... + 6257006974.

It is an arithmetic number, because the mean of its divisors is an integer number (116380328247).

Almost surely, 2^{1001121103120} is an apocalyptic number.

1001121103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001121103120 is an abundant number, since it is smaller than the sum of its proper divisors (1326485461820).

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

1001121103120 is a wasteful number, since it uses less digits than its factorization.

1001121103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12514013802 (or 12514013796 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1001121103120 its reverse (213011211001), we get a palindrome (1214132314121).

The spelling of 1001121103120 in words is "one trillion, one billion, one hundred twenty-one million, one hundred three thousand, one hundred twenty".