110100010001058 has 192 divisors, whose sum is σ = 307703681176320. Its totient is φ = 27608142643200.

The previous prime is 110100010001039. The next prime is 110100010001081. The reversal of 110100010001058 is 850100010001011.

It is a happy number.

It is a super-2 number, since 2×110100010001058² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 110100010001058.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363242466 + ... + 363545442.

It is an arithmetic number, because the mean of its divisors is an integer number (1602623339460).

Almost surely, 2^{110100010001058} is an apocalyptic number.

110100010001058 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 110100010001058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153851840588160).

110100010001058 is an abundant number, since it is smaller than the sum of its proper divisors (197603671175262).

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

110100010001058 is a wasteful number, since it uses less digits than its factorization.

110100010001058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312073 (or 312070 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 110100010001058 its reverse (850100010001011), we get a palindrome (960200020002069).

The spelling of 110100010001058 in words is "one hundred ten trillion, one hundred billion, ten million, one thousand, fifty-eight".