100912411797289 has 9 divisors (see below), whose sum is σ = 102652384052253. Its totient is φ = 99201449296332.

The previous prime is 100912411797269. The next prime is 100912411797293. The reversal of 100912411797289 is 982797114219001.

The square root of 100912411797289 is 10045517.

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

It is not a de Polignac number, because 100912411797289 - 2¹¹ = 100912411795241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100912411797269) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 592600372 + ... + 592770634.

Almost surely, 2^{100912411797289} is an apocalyptic number.

100912411797289 is the 10045517-th square number.

100912411797289 is the 5022759-th centered octagonal number.

It is an amenable number.

100912411797289 is a deficient number, since it is larger than the sum of its proper divisors (1739972254964).

100912411797289 is an frugal number, since it uses more digits than its factorization.

100912411797289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340644 (or 170322 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 61.

The spelling of 100912411797289 in words is "one hundred trillion, nine hundred twelve billion, four hundred eleven million, seven hundred ninety-seven thousand, two hundred eighty-nine".