3001220010100 has 288 divisors, whose sum is σ = 7461522432000. Its totient is φ = 1038680133120.

The previous prime is 3001220010073. The next prime is 3001220010101. The reversal of 3001220010100 is 10100221003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001220010101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 962236341 + ... + 962239459.

It is an arithmetic number, because the mean of its divisors is an integer number (25908064000).

Almost surely, 2^{3001220010100} 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 3001220010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730761216000).

3001220010100 is an abundant number, since it is smaller than the sum of its proper divisors (4460302421900).

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

3001220010100 is a wasteful number, since it uses less digits than its factorization.

3001220010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3560 counting only the distinct ones).

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

Adding to 3001220010100 its reverse (10100221003), we get a palindrome (3011320231103).

The spelling of 3001220010100 in words is "three trillion, one billion, two hundred twenty million, ten thousand, one hundred".