10607102122016 has 24 divisors (see below), whose sum is σ = 22111128321660. Its totient is φ = 4991577468928.

The previous prime is 10607102122009. The next prime is 10607102122021. The reversal of 10607102122016 is 61022120170601.

It can be written as a sum of positive squares in 2 ways, for example, as 10458109210000 + 148992912016 = 3233900^2 + 385996^2 .

It is a super-2 number, since 2×10607102122016² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10607102122016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9749174201 + ... + 9749175288.

Almost surely, 2^{10607102122016} is an apocalyptic number.

10607102122016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10607102122016 is an abundant number, since it is smaller than the sum of its proper divisors (11504026199644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10607102122016 is a wasteful number, since it uses less digits than its factorization.

10607102122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19498349516 (or 19498349508 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 10607102122016 its reverse (61022120170601), we get a palindrome (71629222292617).

The spelling of 10607102122016 in words is "ten trillion, six hundred seven billion, one hundred two million, one hundred twenty-two thousand, sixteen".