1010010010968 has 256 divisors, whose sum is σ = 3296043878400. Its totient is φ = 280518888960.

The previous prime is 1010010010967. The next prime is 1010010010969. The reversal of 1010010010968 is 8690100100101.

1010010010968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010010010967) and next prime (1010010010969).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010010010963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66062221 + ... + 66077507.

It is an arithmetic number, because the mean of its divisors is an integer number (12875171400).

Almost surely, 2^{1010010010968} is an apocalyptic number.

1010010010968 is a gapful number since it is divisible by the number (18) 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 1010010010968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648021939200).

1010010010968 is an abundant number, since it is smaller than the sum of its proper divisors (2286033867432).

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

1010010010968 is a wasteful number, since it uses less digits than its factorization.

1010010010968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16527 (or 16517 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 1010010010968 in words is "one trillion, ten billion, ten million, ten thousand, nine hundred sixty-eight".