201894260102500 has 135 divisors (see below), whose sum is σ = 513597038364333. Its totient is φ = 69219184104000.

The previous prime is 201894260102489. The next prime is 201894260102527. The reversal of 201894260102500 is 5201062498102.

It is a happy number.

The square root of 201894260102500 is 14208950.

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

It can be written as a sum of positive squares in 7 ways, for example, as 34001703885604 + 167892556216896 = 5831098^2 + 12957336^2 .

It is a super-2 number, since 2×201894260102500² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4973112202 + ... + 4973152798.

Almost surely, 2^{201894260102500} is an apocalyptic number.

201894260102500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201894260102500 is the 14208950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201894260102500

201894260102500 is an abundant number, since it is smaller than the sum of its proper divisors (311702778261833).

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

201894260102500 is an frugal number, since it uses more digits than its factorization.

201894260102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81232 (or 40611 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 201894260102500 in words is "two hundred one trillion, eight hundred ninety-four billion, two hundred sixty million, one hundred two thousand, five hundred".