101252681 has 6 divisors (see below), whose sum is σ = 101808270. Its totient is φ = 100700096.

The previous prime is 101252677. The next prime is 101252687. The reversal of 101252681 is 186252101.

It can be written as a sum of positive squares in 3 ways, for example, as 74046025 + 27206656 = 8605^2 + 5216^2 .

It is not a de Polignac number, because 101252681 - 2² = 101252677 is a prime.

It is a super-2 number, since 2×101252681² = 20504210819375522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101252681.

It is not an unprimeable number, because it can be changed into a prime (101252687) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 37505 + ... + 40113.

It is an arithmetic number, because the mean of its divisors is an integer number (16968045).

Almost surely, 2^101252681 is an apocalyptic number.

It is an amenable number.

101252681 is a deficient number, since it is larger than the sum of its proper divisors (555589).

101252681 is an frugal number, since it uses more digits than its factorization.

101252681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 101252681 is about 10062.4391178282. The cubic root of 101252681 is about 466.0889896792.

The spelling of 101252681 in words is "one hundred one million, two hundred fifty-two thousand, six hundred eighty-one".