10021617001 has 6 divisors (see below), whose sum is σ = 11015496506. Its totient is φ = 9110560800.

The previous prime is 10021616963. The next prime is 10021617007. The reversal of 10021617001 is 10071612001.

It can be written as a sum of positive squares in only one way, i.e., 5431690000 + 4589927001 = 73700^2 + 67749^2 .

It is not a de Polignac number, because 10021617001 - 2⁹ = 10021616489 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 10021617001.

It is not an unprimeable number, because it can be changed into a prime (10021617007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41411520 + ... + 41411761.

Almost surely, 2^10021617001 is an apocalyptic number.

10021617001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021617001 is a deficient number, since it is larger than the sum of its proper divisors (993879505).

10021617001 is an equidigital number, since it uses as much as digits as its factorization.

10021617001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82823303 (or 82823292 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

Subtracting 10021617001 from its reverse (10071612001), we obtain a triangular number (49995000 = T₉₉₉₉).

The spelling of 10021617001 in words is "ten billion, twenty-one million, six hundred seventeen thousand, one".