101261711 has 8 divisors (see below), whose sum is σ = 104202384. Its totient is φ = 98331840.

The previous prime is 101261701. The next prime is 101261729. The reversal of 101261711 is 117162101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101261711 - 2¹⁴ = 101245327 is a prime.

It is a super-2 number, since 2×101261711² = 20507868229295042, 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 (101261701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18731 + ... + 23523.

It is an arithmetic number, because the mean of its divisors is an integer number (13025298).

Almost surely, 2^101261711 is an apocalyptic number.

101261711 is a deficient number, since it is larger than the sum of its proper divisors (2940673).

101261711 is an equidigital number, since it uses as much as digits as its factorization.

101261711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5401.

The product of its (nonzero) digits is 84, while the sum is 20.

The square root of 101261711 is about 10062.8878061916. The cubic root of 101261711 is about 466.1028449780.

The spelling of 101261711 in words is "one hundred one million, two hundred sixty-one thousand, seven hundred eleven".