3000100122000 has 120 divisors (see below), whose sum is σ = 10478349755640. Its totient is φ = 800026694400.

The previous prime is 3000100121933. The next prime is 3000100122001. The reversal of 3000100122000 is 2210010003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 618041256336 + 2382058865664 = 786156^2 + 1543392^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (3000100122001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83318115 + ... + 83354114.

It is an arithmetic number, because the mean of its divisors is an integer number (87319581297).

Almost surely, 2^{3000100122000} is an apocalyptic number.

3000100122000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000100122000 is an abundant number, since it is smaller than the sum of its proper divisors (7478249633640).

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

3000100122000 is a wasteful number, since it uses less digits than its factorization.

3000100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166672258 (or 166672239 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 3000100122000 its reverse (2210010003), we get a palindrome (3002310132003).

The spelling of 3000100122000 in words is "three trillion, one hundred million, one hundred twenty-two thousand".