1001201012120 has 128 divisors (see below), whose sum is σ = 2309229000000. Its totient is φ = 390547003392.

The previous prime is 1001201012083. The next prime is 1001201012153. The reversal of 1001201012120 is 212101021001.

It is a super-2 number, since 2×1001201012120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392780606 + ... + 392783154.

Almost surely, 2^{1001201012120} is an apocalyptic number.

1001201012120 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 1001201012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154614500000).

1001201012120 is an abundant number, since it is smaller than the sum of its proper divisors (1308027987880).

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

1001201012120 is a wasteful number, since it uses less digits than its factorization.

1001201012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001201012120 its reverse (212101021001), we get a palindrome (1213302033121).

The spelling of 1001201012120 in words is "one trillion, one billion, two hundred one million, twelve thousand, one hundred twenty".