1001020121000 has 64 divisors (see below), whose sum is σ = 2342643947280. Its totient is φ = 400364140800.

The previous prime is 1001020120957. The next prime is 1001020121021. The reversal of 1001020121000 is 1210201001.

It can be written as a sum of positive squares in 8 ways, for example, as 120827150404 + 880192970596 = 347602^2 + 938186^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9987134 + ... + 10086866.

Almost surely, 2^{1001020121000} is an apocalyptic number.

1001020121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001020121000 is an abundant number, since it is smaller than the sum of its proper divisors (1341623826280).

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

1001020121000 is a wasteful number, since it uses less digits than its factorization.

1001020121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109791 (or 109777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001020121000 its reverse (1210201001), we get a palindrome (1002230322001).

The spelling of 1001020121000 in words is "one trillion, one billion, twenty million, one hundred twenty-one thousand".