100412644813321 has 9 divisors (see below), whose sum is σ = 100701453169191. Its totient is φ = 100124662473792.

The previous prime is 100412644813297. The next prime is 100412644813361. The reversal of 100412644813321 is 123318446214001.

The square root of 100412644813321 is 10020611.

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., 40794727055625 + 59617917757696 = 6387075^2 + 7721264^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100412644813321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100412644813361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3537261490 + ... + 3537289876.

Almost surely, 2^{100412644813321} is an apocalyptic number.

100412644813321 is the 10020611-st square number.

100412644813321 is the 5010306-th centered octagonal number.

It is an amenable number.

100412644813321 is a deficient number, since it is larger than the sum of its proper divisors (288808355870).

100412644813321 is an frugal number, since it uses more digits than its factorization.

100412644813321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57480 (or 28740 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 100412644813321 in words is "one hundred trillion, four hundred twelve billion, six hundred forty-four million, eight hundred thirteen thousand, three hundred twenty-one".