58022100122085 has 48 divisors (see below), whose sum is σ = 112048868056320. Its totient is φ = 27533375675520.

The previous prime is 58022100121949. The next prime is 58022100122101.

58022100122085 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58022100122085 - 2¹⁷ = 58022099991013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246959330 + ... + 1247005859.

It is an arithmetic number, because the mean of its divisors is an integer number (2334351417840).

Almost surely, 2^{58022100122085} is an apocalyptic number.

58022100122085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58022100122085 is a deficient number, since it is larger than the sum of its proper divisors (54026767934235).

58022100122085 is a wasteful number, since it uses less digits than its factorization.

58022100122085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493965258 (or 2493965255 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

It can be divided in two parts, 58022100 and 122085, that added together give a palindrome (58144185).

The spelling of 58022100122085 in words is "fifty-eight trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, eighty-five".