1001220103312 has 80 divisors (see below), whose sum is σ = 2296398646080. Its totient is φ = 416885414400.

The previous prime is 1001220103249. The next prime is 1001220103333. The reversal of 1001220103312 is 2133010221001.

1001220103312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1001220103312³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1370487 + ... + 1969942.

It is an arithmetic number, because the mean of its divisors is an integer number (28704983076).

Almost surely, 2^{1001220103312} is an apocalyptic number.

It is an amenable number.

1001220103312 is an abundant number, since it is smaller than the sum of its proper divisors (1295178542768).

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

1001220103312 is a wasteful number, since it uses less digits than its factorization.

1001220103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340592 (or 3340586 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1001220103312 its reverse (2133010221001), we get a palindrome (3134230324313).

The spelling of 1001220103312 in words is "one trillion, one billion, two hundred twenty million, one hundred three thousand, three hundred twelve".