100229861281 has 27 divisors (see below), whose sum is σ = 117100980633. Its totient is φ = 85707515520.

The previous prime is 100229861257. The next prime is 100229861309. The reversal of 100229861281 is 182168922001.

The square root of 100229861281 is 316591.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3048033681 + 97181827600 = 55209^2 + 311740^2 .

It is not a de Polignac number, because 100229861281 - 2¹⁹ = 100229336993 is a prime.

It is a super-2 number, since 2×100229861281² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100229861981) 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 26 ways as a sum of consecutive naturals, for example, 59201671 + ... + 59203363.

Almost surely, 2^100229861281 is an apocalyptic number.

100229861281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100229861281 is the 316591-st square number.

100229861281 is the 158296-th centered octagonal number.

It is an amenable number.

100229861281 is a deficient number, since it is larger than the sum of its proper divisors (16871119352).

100229861281 is an frugal number, since it uses more digits than its factorization.

100229861281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 100229861281 in words is "one hundred billion, two hundred twenty-nine million, eight hundred sixty-one thousand, two hundred eighty-one".