101146441 has 12 divisors (see below), whose sum is σ = 112212100. Its totient is φ = 91095840.

The previous prime is 101146411. The next prime is 101146471. The reversal of 101146441 is 144641101.

It is an interprime number because it is at equal distance from previous prime (101146411) and next prime (101146471).

It can be written as a sum of positive squares in 2 ways, for example, as 85377600 + 15768841 = 9240^2 + 3971^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101146441 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101146411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9355 + ... + 17023.

Almost surely, 2^101146441 is an apocalyptic number.

101146441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101146441 is a deficient number, since it is larger than the sum of its proper divisors (11065659).

101146441 is a wasteful number, since it uses less digits than its factorization.

101146441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 101146441 is about 10057.1586941840. The cubic root of 101146441 is about 465.9259170486.

Adding to 101146441 its reverse (144641101), we get a palindrome (245787542).

The spelling of 101146441 in words is "one hundred one million, one hundred forty-six thousand, four hundred forty-one".