1010001116652 has 192 divisors, whose sum is σ = 2735673507840. Its totient is φ = 286803763200.

The previous prime is 1010001116651. The next prime is 1010001116659. The reversal of 1010001116652 is 2566111000101.

It is not an unprimeable number, because it can be changed into a prime (1010001116651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297845877 + ... + 297849267.

It is an arithmetic number, because the mean of its divisors is an integer number (14248299520).

Almost surely, 2^{1010001116652} is an apocalyptic number.

1010001116652 is a gapful number since it is divisible by the number (12) 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 1010001116652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367836753920).

1010001116652 is an abundant number, since it is smaller than the sum of its proper divisors (1725672391188).

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

1010001116652 is a wasteful number, since it uses less digits than its factorization.

1010001116652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 1010001116652 its reverse (2566111000101), we get a palindrome (3576112116753).

The spelling of 1010001116652 in words is "one trillion, ten billion, one million, one hundred sixteen thousand, six hundred fifty-two".