10002088217 has 16 divisors (see below), whose sum is σ = 11273809920. Its totient is φ = 8791318800.

The previous prime is 10002088183. The next prime is 10002088253. The reversal of 10002088217 is 71288020001.

It is not a de Polignac number, because 10002088217 - 2⁶ = 10002088153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002088217.

It is not an unprimeable number, because it can be changed into a prime (10002088267) 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, 369884 + ... + 396002.

It is an arithmetic number, because the mean of its divisors is an integer number (704613120).

Almost surely, 2^10002088217 is an apocalyptic number.

It is an amenable number.

10002088217 is a deficient number, since it is larger than the sum of its proper divisors (1271721703).

10002088217 is a wasteful number, since it uses less digits than its factorization.

10002088217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27284.

The product of its (nonzero) digits is 1792, while the sum is 29.

The spelling of 10002088217 in words is "ten billion, two million, eighty-eight thousand, two hundred seventeen".