403122310112100 has 144 divisors (see below), whose sum is σ = 1169453790167040. Its totient is φ = 107214825782400.

The previous prime is 403122310112069. The next prime is 403122310112111. The reversal of 403122310112100 is 1211013221304.

It is a super-2 number, since 2×403122310112100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5062339285 + ... + 5062418915.

It is an arithmetic number, because the mean of its divisors is an integer number (8121206876160).

Almost surely, 2^{403122310112100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403122310112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584726895083520).

403122310112100 is an abundant number, since it is smaller than the sum of its proper divisors (766331480054940).

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

403122310112100 is a wasteful number, since it uses less digits than its factorization.

403122310112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124090 (or 124083 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 403122310112100 its reverse (1211013221304), we get a palindrome (404333323333404).

The spelling of 403122310112100 in words is "four hundred three trillion, one hundred twenty-two billion, three hundred ten million, one hundred twelve thousand, one hundred".