101008281124 has 9 divisors (see below), whose sum is σ = 176765604337. Its totient is φ = 50503822744.

The previous prime is 101008281097. The next prime is 101008281151. The reversal of 101008281124 is 421182800101.

The square root of 101008281124 is 317818.

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

It is an interprime number because it is at equal distance from previous prime (101008281097) and next prime (101008281151).

It can be written as a sum of positive squares in only one way, i.e., 9393098724 + 91615182400 = 96918^2 + 302680^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101008281092 and 101008281101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 556182 + ... + 715090.

Almost surely, 2^101008281124 is an apocalyptic number.

101008281124 is the 317818-th square number.

It is an amenable number.

101008281124 is a deficient number, since it is larger than the sum of its proper divisors (75757323213).

101008281124 is an frugal number, since it uses more digits than its factorization.

101008281124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317822 (or 158911 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

Multiplying 101008281124 by its product of nonzero digits (1024), we get a square (103432479870976 = 10170176²).

The spelling of 101008281124 in words is "one hundred one billion, eight million, two hundred eighty-one thousand, one hundred twenty-four".