98022100122089 has 24 divisors (see below), whose sum is σ = 117095753349960. Its totient is φ = 81501662626560.

The previous prime is 98022100122083. The next prime is 98022100122137.

98022100122089 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19005414630400 + 79016685491689 = 4359520^2 + 8889133^2 .

It is not a de Polignac number, because 98022100122089 - 2²⁸ = 98021831686633 is a prime.

It is a super-2 number, since 2×98022100122089² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98022100122083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285678932 + ... + 286021845.

It is an arithmetic number, because the mean of its divisors is an integer number (4878989722915).

Almost surely, 2^{98022100122089} is an apocalyptic number.

It is an amenable number.

98022100122089 is a deficient number, since it is larger than the sum of its proper divisors (19073653227871).

98022100122089 is a wasteful number, since it uses less digits than its factorization.

98022100122089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571700921 (or 571700910 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

It can be divided in two parts, 98022100 and 122089, that added together give a palindrome (98144189).

The spelling of 98022100122089 in words is "ninety-eight trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, eighty-nine".