3000214406101 has 24 divisors (see below), whose sum is σ = 3344650045632. Its totient is φ = 2688693638400.

The previous prime is 3000214406093. The next prime is 3000214406153. The reversal of 3000214406101 is 1016044120003.

3000214406101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3000214406101 - 2³ = 3000214406093 is a prime.

It is a super-2 number, since 2×3000214406101² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000214404101) 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 23 ways as a sum of consecutive naturals, for example, 80539186 + ... + 80576428.

It is an arithmetic number, because the mean of its divisors is an integer number (139360418568).

Almost surely, 2^{3000214406101} is an apocalyptic number.

It is an amenable number.

3000214406101 is a deficient number, since it is larger than the sum of its proper divisors (344435639531).

3000214406101 is a wasteful number, since it uses less digits than its factorization.

3000214406101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46713 (or 46702 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 3000214406101 its reverse (1016044120003), we get a palindrome (4016258526104).

The spelling of 3000214406101 in words is "three trillion, two hundred fourteen million, four hundred six thousand, one hundred one".