122303302332100 has 36 divisors (see below), whose sum is σ = 265545528009748. Its totient is φ = 48894157440000.

The previous prime is 122303302332083. The next prime is 122303302332103. The reversal of 122303302332100 is 1233203303221.

122303302332100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9606744196 + 122293695587904 = 98014^2 + 11058648^2 .

It is a super-2 number, since 2×122303302332100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (122303302332103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339362661 + ... + 339722860.

Almost surely, 2^{122303302332100} is an apocalyptic number.

122303302332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122303302332100 is an abundant number, since it is smaller than the sum of its proper divisors (143242225677648).

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

122303302332100 is a wasteful number, since it uses less digits than its factorization.

122303302332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679087336 (or 679087329 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 122303302332100 its reverse (1233203303221), we get a palindrome (123536505635321).

The spelling of 122303302332100 in words is "one hundred twenty-two trillion, three hundred three billion, three hundred two million, three hundred thirty-two thousand, one hundred".