101951 has 4 divisors (see below), whose sum is σ = 102600. Its totient is φ = 101304.

The previous prime is 101939. The next prime is 101957. The reversal of 101951 is 159101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 159101 = 389 ⋅409.

It is a cyclic number.

It is not a de Polignac number, because 101951 - 2¹⁰ = 100927 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101957) 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 3 ways as a sum of consecutive naturals, for example, 80 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2¹⁰¹⁹⁵¹ is an apocalyptic number.

101951 is a deficient number, since it is larger than the sum of its proper divisors (649).

101951 is an equidigital number, since it uses as much as digits as its factorization.

101951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 101951 is about 319.2976667625. The cubic root of 101951 is about 46.7158042516.

The spelling of 101951 in words is "one hundred one thousand, nine hundred fifty-one".