101101112222058 has 128 divisors (see below), whose sum is σ = 255079325491200. Its totient is φ = 29425217167296.

The previous prime is 101101112222057. The next prime is 101101112222059. The reversal of 101101112222058 is 850222211101101.

101101112222058 is a `hidden beast` number, since 10 + 110 + 111 + 222 + 205 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (101101112222057) and next prime (101101112222059).

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

It is not an unprimeable number, because it can be changed into a prime (101101112222057) 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, 2771935 + ... + 14487437.

It is an arithmetic number, because the mean of its divisors is an integer number (1992807230400).

Almost surely, 2^{101101112222058} is an apocalyptic number.

101101112222058 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 101101112222058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127539662745600).

101101112222058 is an abundant number, since it is smaller than the sum of its proper divisors (153978213269142).

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

101101112222058 is a wasteful number, since it uses less digits than its factorization.

101101112222058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11716193 (or 11716187 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

Adding to 101101112222058 its reverse (850222211101101), we get a palindrome (951323323323159).

The spelling of 101101112222058 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, two hundred twenty-two thousand, fifty-eight".