1001021000120 has 64 divisors (see below), whose sum is σ = 2283573820320. Its totient is φ = 394850156544.

The previous prime is 1001021000039. The next prime is 1001021000129. The reversal of 1001021000120 is 210001201001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001021000098 and 1001021000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001021000129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17353967 + ... + 17411553.

Almost surely, 2^{1001021000120} is an apocalyptic number.

1001021000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001021000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141786910160).

1001021000120 is an abundant number, since it is smaller than the sum of its proper divisors (1282552820200).

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

1001021000120 is a wasteful number, since it uses less digits than its factorization.

1001021000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63624 (or 63620 counting only the distinct ones).

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

Adding to 1001021000120 its reverse (210001201001), we get a palindrome (1211022201121).

The spelling of 1001021000120 in words is "one trillion, one billion, twenty-one million, one hundred twenty", and thus it is an aban number.