3001002203100 has 432 divisors, whose sum is σ = 9659928162528. Its totient is φ = 718713600000.

The previous prime is 3001002203093. The next prime is 3001002203113. The reversal of 3001002203100 is 13022001003.

It is a happy number.

It is a super-2 number, since 2×3001002203100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3010031802 + ... + 3010032798.

Almost surely, 2^{3001002203100} is an apocalyptic number.

3001002203100 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 3001002203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829964081264).

3001002203100 is an abundant number, since it is smaller than the sum of its proper divisors (6658925959428).

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

3001002203100 is a wasteful number, since it uses less digits than its factorization.

3001002203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 3001002203100 its reverse (13022001003), we get a palindrome (3014024204103).

The spelling of 3001002203100 in words is "three trillion, one billion, two million, two hundred three thousand, one hundred".