3101221001032 has 128 divisors (see below), whose sum is σ = 7530983424000. Its totient is φ = 1161720725760.

The previous prime is 3101221000979. The next prime is 3101221001041. The reversal of 3101221001032 is 2301001221013.

It is a super-3 number, since 3×3101221001032³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3101221000997 and 3101221001015.

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, 3906313 + ... + 4632679.

It is an arithmetic number, because the mean of its divisors is an integer number (58835808000).

Almost surely, 2^{3101221001032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3101221001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765491712000).

3101221001032 is an abundant number, since it is smaller than the sum of its proper divisors (4429762422968).

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

3101221001032 is a wasteful number, since it uses less digits than its factorization.

3101221001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726659 (or 726655 counting only the distinct ones).

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

Adding to 3101221001032 its reverse (2301001221013), we get a palindrome (5402222222045).

The spelling of 3101221001032 in words is "three trillion, one hundred one billion, two hundred twenty-one million, one thousand, thirty-two".