10101607459968 has 128 divisors (see below), whose sum is σ = 27418037898240. Its totient is φ = 3294434124800.

The previous prime is 10101607459943. The next prime is 10101607460029. The reversal of 10101607459968 is 86995470610101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10101607459968² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2157421 + ... + 4985747.

It is an arithmetic number, because the mean of its divisors is an integer number (214203421080).

Almost surely, 2^{10101607459968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101607459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13709018949120).

10101607459968 is an abundant number, since it is smaller than the sum of its proper divisors (17316430438272).

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

10101607459968 is a wasteful number, since it uses less digits than its factorization.

10101607459968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828546 (or 2828534 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 10101607459968 in words is "ten trillion, one hundred one billion, six hundred seven million, four hundred fifty-nine thousand, nine hundred sixty-eight".