1001201022120 has 128 divisors (see below), whose sum is σ = 3234996455040. Its totient is φ = 246423045120.

The previous prime is 1001201022077. The next prime is 1001201022139. The reversal of 1001201022120 is 212201021001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001201022096 and 1001201022105.

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, 17313655 + ... + 17371385.

It is an arithmetic number, because the mean of its divisors is an integer number (25273409805).

Almost surely, 2^{1001201022120} is an apocalyptic number.

1001201022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001201022120 is an abundant number, since it is smaller than the sum of its proper divisors (2233795432920).

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

1001201022120 is a wasteful number, since it uses less digits than its factorization.

1001201022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68875 (or 68871 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001201022120 its reverse (212201021001), we get a palindrome (1213402043121).

The spelling of 1001201022120 in words is "one trillion, one billion, two hundred one million, twenty-two thousand, one hundred twenty".