101285633 has 2 divisors, whose sum is σ = 101285634. Its totient is φ = 101285632.

The previous prime is 101285617. The next prime is 101285707. The reversal of 101285633 is 336582101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95491984 + 5793649 = 9772^2 + 2407^2 .

It is an emirp because it is prime and its reverse (336582101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101285633 - 2⁴ = 101285617 is a prime.

It is equal to p_5831228 and since 101285633 and 5831228 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 101285596 and 101285605.

It is not a weakly prime, because it can be changed into another prime (101281633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50642816 + 50642817.

It is an arithmetic number, because the mean of its divisors is an integer number (50642817).

Almost surely, 2^101285633 is an apocalyptic number.

It is an amenable number.

101285633 is a deficient number, since it is larger than the sum of its proper divisors (1).

101285633 is an equidigital number, since it uses as much as digits as its factorization.

101285633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 101285633 is about 10064.0763609981. The cubic root of 101285633 is about 466.1395460313.

The spelling of 101285633 in words is "one hundred one million, two hundred eighty-five thousand, six hundred thirty-three".