5142194612100 has 1008 divisors, whose sum is σ = 20641076886528. Its totient is φ = 1082310958080.

The previous prime is 5142194612077. The next prime is 5142194612161. The reversal of 5142194612100 is 12164912415.

5142194612100 is a `hidden beast` number, since 5 + 1 + 4 + 21 + 9 + 4 + 612 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4026776662 + ... + 4026777938.

It is an arithmetic number, because the mean of its divisors is an integer number (20477258816).

Almost surely, 2^{5142194612100} is an apocalyptic number.

5142194612100 is a gapful number since it is divisible by the number (50) 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 5142194612100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320538443264).

5142194612100 is an abundant number, since it is smaller than the sum of its proper divisors (15498882274428).

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

5142194612100 is a wasteful number, since it uses less digits than its factorization.

5142194612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 5142194612100 in words is "five trillion, one hundred forty-two billion, one hundred ninety-four million, six hundred twelve thousand, one hundred".