3001100122000 has 160 divisors (see below), whose sum is σ = 7970704485120. Its totient is φ = 1087812633600.

The previous prime is 3001100121989. The next prime is 3001100122001. The reversal of 3001100122000 is 2210011003.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3001100122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 842877 + ... + 2590876.

It is an arithmetic number, because the mean of its divisors is an integer number (49816903032).

Almost surely, 2^{3001100122000} is an apocalyptic number.

It is an amenable number.

3001100122000 is an abundant number, since it is smaller than the sum of its proper divisors (4969604363120).

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

3001100122000 is a wasteful number, since it uses less digits than its factorization.

3001100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433818 (or 3433802 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 3001100122000 its reverse (2210011003), we get a palindrome (3003310133003).

The spelling of 3001100122000 in words is "three trillion, one billion, one hundred million, one hundred twenty-two thousand".