10199182081 has 9 divisors (see below), whose sum is σ = 11211892419. Its totient is φ = 9270973800.

The previous prime is 10199182061. The next prime is 10199182093. The reversal of 10199182081 is 18028199101.

The square root of 10199182081 is 100991.

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., 6591978481 + 3607203600 = 81191^2 + 60060^2 .

It is not a de Polignac number, because 10199182081 - 2¹⁵ = 10199149313 is a prime.

It is a super-2 number, since 2×10199182081² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10199182061) 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, 1106311 + ... + 1115491.

Almost surely, 2^10199182081 is an apocalyptic number.

10199182081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10199182081 is the 100991-st square number.

10199182081 is the 50496-th centered octagonal number.

It is an amenable number.

10199182081 is a deficient number, since it is larger than the sum of its proper divisors (1012710338).

10199182081 is an frugal number, since it uses more digits than its factorization.

10199182081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18384 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 40.

The spelling of 10199182081 in words is "ten billion, one hundred ninety-nine million, one hundred eighty-two thousand, eighty-one".