101263961 has 4 divisors (see below), whose sum is σ = 102003252. Its totient is φ = 100524672.

The previous prime is 101263937. The next prime is 101263979. The reversal of 101263961 is 169362101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169362101 = 4861 ⋅34841.

It can be written as a sum of positive squares in 2 ways, for example, as 50055625 + 51208336 = 7075^2 + 7156^2 .

It is a cyclic number.

It is not a de Polignac number, because 101263961 - 2²² = 97069657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101263361) 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, 369440 + ... + 369713.

It is an arithmetic number, because the mean of its divisors is an integer number (25500813).

Almost surely, 2^101263961 is an apocalyptic number.

It is an amenable number.

101263961 is a deficient number, since it is larger than the sum of its proper divisors (739291).

101263961 is an equidigital number, since it uses as much as digits as its factorization.

101263961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739290.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 101263961 is about 10062.9996025042. Note that the first 3 decimals coincide. The cubic root of 101263961 is about 466.1062971668.

The spelling of 101263961 in words is "one hundred one million, two hundred sixty-three thousand, nine hundred sixty-one".