10110011099958 has 192 divisors, whose sum is σ = 28528479936000. Its totient is φ = 2624330681280.

The previous prime is 10110011099957. The next prime is 10110011100031. The reversal of 10110011099958 is 85999011001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110011099957) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46665268 + ... + 46881416.

It is an arithmetic number, because the mean of its divisors is an integer number (148585833000).

Almost surely, 2^{10110011099958} is an apocalyptic number.

10110011099958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110011099958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264239968000).

10110011099958 is an abundant number, since it is smaller than the sum of its proper divisors (18418468836042).

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

10110011099958 is a wasteful number, since it uses less digits than its factorization.

10110011099958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217792 (or 217779 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 45.

The spelling of 10110011099958 in words is "ten trillion, one hundred ten billion, eleven million, ninety-nine thousand, nine hundred fifty-eight".