3001101021000 has 384 divisors, whose sum is σ = 10555628054400. Its totient is φ = 768427430400.

The previous prime is 3001101020963. The next prime is 3001101021013. The reversal of 3001101021000 is 1201011003.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22767282 + ... + 22898718.

It is an arithmetic number, because the mean of its divisors is an integer number (27488614725).

Almost surely, 2^{3001101021000} is an apocalyptic number.

3001101021000 is a gapful number since it is divisible by the number (30) 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 3001101021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277814027200).

3001101021000 is an abundant number, since it is smaller than the sum of its proper divisors (7554527033400).

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

3001101021000 is a wasteful number, since it uses less digits than its factorization.

3001101021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131566 (or 131549 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 3001101021000 its reverse (1201011003), we get a palindrome (3002302032003).

The spelling of 3001101021000 in words is "three trillion, one billion, one hundred one million, twenty-one thousand".