101511261 has 12 divisors (see below), whose sum is σ = 150037888. Its totient is φ = 66100104.

The previous prime is 101511247. The next prime is 101511269. The reversal of 101511261 is 162115101.

It is a happy number.

It is not a de Polignac number, because 101511261 - 2¹⁸ = 101249117 is a prime.

It is a super-2 number, since 2×101511261² = 20609072219620242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101511269) 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 11 ways as a sum of consecutive naturals, for example, 130765 + ... + 131538.

Almost surely, 2^101511261 is an apocalyptic number.

It is an amenable number.

101511261 is a deficient number, since it is larger than the sum of its proper divisors (48526627).

101511261 is a wasteful number, since it uses less digits than its factorization.

101511261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262352 (or 262349 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 101511261 is about 10075.2796983508. The cubic root of 101511261 is about 466.4854198081.

Adding to 101511261 its reverse (162115101), we get a palindrome (263626362).

The spelling of 101511261 in words is "one hundred one million, five hundred eleven thousand, two hundred sixty-one".