151214006100 has 144 divisors (see below), whose sum is σ = 461056601600. Its totient is φ = 38158542720.

The previous prime is 151214006089. The next prime is 151214006171. The reversal of 151214006100 is 1600412151.

151214006100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5223867 + ... + 5252733.

Almost surely, 2^151214006100 is an apocalyptic number.

151214006100 is a gapful number since it is divisible by the number (10) 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 151214006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230528300800).

151214006100 is an abundant number, since it is smaller than the sum of its proper divisors (309842595500).

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

151214006100 is a wasteful number, since it uses less digits than its factorization.

151214006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29822 (or 29815 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 151214006100 its reverse (1600412151), we get a palindrome (152814418251).

The spelling of 151214006100 in words is "one hundred fifty-one billion, two hundred fourteen million, six thousand, one hundred".