101263217 has 16 divisors (see below), whose sum is σ = 116617920. Its totient is φ = 86961600.

The previous prime is 101263207. The next prime is 101263229. The reversal of 101263217 is 712362101.

It is not a de Polignac number, because 101263217 - 2¹⁴ = 101246833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101263192 and 101263201.

It is not an unprimeable number, because it can be changed into a prime (101263207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137783 + ... + 138515.

It is an arithmetic number, because the mean of its divisors is an integer number (7288620).

Almost surely, 2^101263217 is an apocalyptic number.

It is an amenable number.

101263217 is a deficient number, since it is larger than the sum of its proper divisors (15354703).

101263217 is a wasteful number, since it uses less digits than its factorization.

101263217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 101263217 is about 10062.9626353276. The cubic root of 101263217 is about 466.1051556487.

The spelling of 101263217 in words is "one hundred one million, two hundred sixty-three thousand, two hundred seventeen".