10001210351616 has 560 divisors, whose sum is σ = 32854242769920. Its totient is φ = 3006527569920.

The previous prime is 10001210351593. The next prime is 10001210351683. The reversal of 10001210351616 is 61615301210001.

10001210351616 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 2 + 10 + 35 + 1 + 616 = 666.

It is a super-2 number, since 2×10001210351616² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10001210351616.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 926976750 + ... + 926987538.

Almost surely, 2^{10001210351616} is an apocalyptic number.

10001210351616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001210351616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427121384960).

10001210351616 is an abundant number, since it is smaller than the sum of its proper divisors (22853032418304).

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

10001210351616 is a wasteful number, since it uses less digits than its factorization.

10001210351616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10965 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 10001210351616 its reverse (61615301210001), we get a palindrome (71616511561617).

The spelling of 10001210351616 in words is "ten trillion, one billion, two hundred ten million, three hundred fifty-one thousand, six hundred sixteen".