10202017161607 has 16 divisors (see below), whose sum is σ = 10309781287872. Its totient is φ = 10094388307200.

The previous prime is 10202017161601. The next prime is 10202017161613. The reversal of 10202017161607 is 70616171020201.

It is an interprime number because it is at equal distance from previous prime (10202017161601) and next prime (10202017161613).

It is a cyclic number.

It is not a de Polignac number, because 10202017161607 - 2¹⁵ = 10202017128839 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202017161601) 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, 1862698953 + ... + 1862704429.

It is an arithmetic number, because the mean of its divisors is an integer number (644361330492).

Almost surely, 2^{10202017161607} is an apocalyptic number.

10202017161607 is a deficient number, since it is larger than the sum of its proper divisors (107764126265).

10202017161607 is a wasteful number, since it uses less digits than its factorization.

10202017161607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14298.

The product of its (nonzero) digits is 7056, while the sum is 34.

Adding to 10202017161607 its reverse (70616171020201), we get a palindrome (80818188181808).

The spelling of 10202017161607 in words is "ten trillion, two hundred two billion, seventeen million, one hundred sixty-one thousand, six hundred seven".