10369101971881 has 27 divisors (see below), whose sum is σ = 10624628973231. Its totient is φ = 10119694869504.

The previous prime is 10369101971869. The next prime is 10369101971887. The reversal of 10369101971881 is 18817910196301.

The square root of 10369101971881 is 3220109.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8438391721881 + 1930710250000 = 2904891^2 + 1389500^2 .

It is not a de Polignac number, because 10369101971881 - 2⁹ = 10369101971369 is a prime.

It is a super-3 number, since 3×10369101971881³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10369101971887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27799200811 + ... + 27799201183.

Almost surely, 2^{10369101971881} is an apocalyptic number.

10369101971881 is the 3220109-th square number.

10369101971881 is the 1610055-th centered octagonal number.

It is an amenable number.

10369101971881 is a deficient number, since it is larger than the sum of its proper divisors (255527001350).

10369101971881 is an frugal number, since it uses more digits than its factorization.

10369101971881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 55.

The spelling of 10369101971881 in words is "ten trillion, three hundred sixty-nine billion, one hundred one million, nine hundred seventy-one thousand, eight hundred eighty-one".