200271745600100 has 18 divisors (see below), whose sum is σ = 434589687952434. Its totient is φ = 80108698240000.

The previous prime is 200271745600081. The next prime is 200271745600109. The reversal of 200271745600100 is 1006547172002.

It can be written as a sum of positive squares in 3 ways, for example, as 1317109703716 + 198954635896384 = 1147654^2 + 14105128^2 .

It is a super-2 number, since 2×200271745600100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200271745600109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1001358727901 + ... + 1001358728100.

It is an arithmetic number, because the mean of its divisors is an integer number (24143871552913).

Almost surely, 2^{200271745600100} is an apocalyptic number.

200271745600100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200271745600100 is an abundant number, since it is smaller than the sum of its proper divisors (234317942352334).

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

200271745600100 is a wasteful number, since it uses less digits than its factorization.

200271745600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002717456015 (or 2002717456008 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 200271745600100 in words is "two hundred trillion, two hundred seventy-one billion, seven hundred forty-five million, six hundred thousand, one hundred".