10100000110968 has 32 divisors (see below), whose sum is σ = 28055555864400. Its totient is φ = 3366666703584.

The previous prime is 10100000110909. The next prime is 10100000110969. The reversal of 10100000110968 is 86901100000101.

It is a super-3 number, since 3×10100000110968³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (10100000110969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23379629671 + ... + 23379630102.

Almost surely, 2^{10100000110968} is an apocalyptic number.

10100000110968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10100000110968 is an abundant number, since it is smaller than the sum of its proper divisors (17955555753432).

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

10100000110968 is a wasteful number, since it uses less digits than its factorization.

10100000110968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46759259788 (or 46759259778 counting only the distinct ones).

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

The spelling of 10100000110968 in words is "ten trillion, one hundred billion, one hundred ten thousand, nine hundred sixty-eight".