101414681 has 2 divisors, whose sum is σ = 101414682. Its totient is φ = 101414680.

The previous prime is 101414657. The next prime is 101414693. The reversal of 101414681 is 186414101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100902025 + 512656 = 10045^2 + 716^2 .

It is a cyclic number.

It is not a de Polignac number, because 101414681 - 2¹⁰ = 101413657 is a prime.

It is a super-4 number, since 4×101414681⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101414681.

It is not a weakly prime, because it can be changed into another prime (101414611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50707340 + 50707341.

It is an arithmetic number, because the mean of its divisors is an integer number (50707341).

Almost surely, 2^101414681 is an apocalyptic number.

It is an amenable number.

101414681 is a deficient number, since it is larger than the sum of its proper divisors (1).

101414681 is an equidigital number, since it uses as much as digits as its factorization.

101414681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 101414681 is about 10070.4856387366. The cubic root of 101414681 is about 466.3374314400.

Adding to 101414681 its reverse (186414101), we get a palindrome (287828782).

The spelling of 101414681 in words is "one hundred one million, four hundred fourteen thousand, six hundred eighty-one".