100210866721 has 27 divisors (see below), whose sum is σ = 119592811443. Its totient is φ = 83724053280.

The previous prime is 100210866719. The next prime is 100210866737. The reversal of 100210866721 is 127668012001.

The square root of 100210866721 is 316561.

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

It can be written as a sum of positive squares in only one way, i.e., 4828721121 + 95382145600 = 69489^2 + 308840^2 .

It is not a de Polignac number, because 100210866721 - 2¹ = 100210866719 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (100210861721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90852456 + ... + 90853558.

Almost surely, 2^100210866721 is an apocalyptic number.

100210866721 is the 316561-st square number.

100210866721 is the 158281-st centered octagonal number.

It is an amenable number.

100210866721 is a deficient number, since it is larger than the sum of its proper divisors (19381944722).

100210866721 is an frugal number, since it uses more digits than its factorization.

100210866721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

Adding to 100210866721 its reverse (127668012001), we get a palindrome (227878878722).

The spelling of 100210866721 in words is "one hundred billion, two hundred ten million, eight hundred sixty-six thousand, seven hundred twenty-one".