1001121033000 has 128 divisors (see below), whose sum is σ = 3407452064640. Its totient is φ = 242696000000.

The previous prime is 1001121032963. The next prime is 1001121033041. The reversal of 1001121033000 is 3301211001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15135501 + ... + 15201500.

It is an arithmetic number, because the mean of its divisors is an integer number (26620719255).

Almost surely, 2^{1001121033000} is an apocalyptic number.

1001121033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001121033000 is an abundant number, since it is smaller than the sum of its proper divisors (2406331031640).

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

1001121033000 is a wasteful number, since it uses less digits than its factorization.

1001121033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30337036 (or 30337022 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1001121033000 its reverse (3301211001), we get a palindrome (1004422244001).

The spelling of 1001121033000 in words is "one trillion, one billion, one hundred twenty-one million, thirty-three thousand".