10218181234921 has 27 divisors (see below), whose sum is σ = 11449557314167. Its totient is φ = 9112324466960.

The previous prime is 10218181234913. The next prime is 10218181234931. The reversal of 10218181234921 is 12943218181201.

The square root of 10218181234921 is 3196589.

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., 7366257387225 + 2851923847696 = 2714085^2 + 1688764^2 .

It is not a de Polignac number, because 10218181234921 - 2³ = 10218181234913 is a prime.

It is a super-2 number, since 2×10218181234921² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10218181234931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1863608646 + ... + 1863614128.

Almost surely, 2^{10218181234921} is an apocalyptic number.

10218181234921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10218181234921 is the 3196589-th square number.

10218181234921 is the 1598295-th centered octagonal number.

It is an amenable number.

10218181234921 is a deficient number, since it is larger than the sum of its proper divisors (1231376079246).

10218181234921 is an frugal number, since it uses more digits than its factorization.

10218181234921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The spelling of 10218181234921 in words is "ten trillion, two hundred eighteen billion, one hundred eighty-one million, two hundred thirty-four thousand, nine hundred twenty-one".