15201343232100 has 135 divisors (see below), whose sum is σ = 49277886795291. Its totient is φ = 4053597955200.

The previous prime is 15201343232083. The next prime is 15201343232129. The reversal of 15201343232100 is 123234310251.

The square root of 15201343232100 is 3898890.

It is a perfect power (a square), and thus also a powerful number.

15201343232100 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 13 + 432 + 3 + 210 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1291964129316 + 13909379102784 = 1136646^2 + 3729528^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×15201343232100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 350878440 + ... + 350921760.

Almost surely, 2^{15201343232100} is an apocalyptic number.

15201343232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15201343232100 is the 3898890-th square number.

It is an amenable number.

15201343232100 is an abundant number, since it is smaller than the sum of its proper divisors (34076543563191).

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

15201343232100 is an frugal number, since it uses more digits than its factorization.

15201343232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86668 (or 43331 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 15201343232100 its reverse (123234310251), we get a palindrome (15324577542351).

The spelling of 15201343232100 in words is "fifteen trillion, two hundred one billion, three hundred forty-three million, two hundred thirty-two thousand, one hundred".