101633141 has 2 divisors, whose sum is σ = 101633142. Its totient is φ = 101633140.

The previous prime is 101633131. The next prime is 101633143. The reversal of 101633141 is 141336101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73170916 + 28462225 = 8554^2 + 5335^2 .

It is a cyclic number.

It is not a de Polignac number, because 101633141 - 2¹⁰ = 101632117 is a prime.

Together with 101633143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101633143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50816570 + 50816571.

It is an arithmetic number, because the mean of its divisors is an integer number (50816571).

Almost surely, 2^101633141 is an apocalyptic number.

It is an amenable number.

101633141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101633141 is an equidigital number, since it uses as much as digits as its factorization.

101633141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 101633141 is about 10081.3263512298. The cubic root of 101633141 is about 466.6720411513.

Adding to 101633141 its reverse (141336101), we get a palindrome (242969242).

The spelling of 101633141 in words is "one hundred one million, six hundred thirty-three thousand, one hundred forty-one".