100123133312202 has 512 divisors, whose sum is σ = 278722558033920. Its totient is φ = 23132013696000.

The previous prime is 100123133312101. The next prime is 100123133312249. The reversal of 100123133312202 is 202213331321001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81334794927 + ... + 81334796157.

It is an arithmetic number, because the mean of its divisors is an integer number (544379996160).

Almost surely, 2^{100123133312202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100123133312202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139361279016960).

100123133312202 is an abundant number, since it is smaller than the sum of its proper divisors (178599424721718).

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

100123133312202 is a wasteful number, since it uses less digits than its factorization.

100123133312202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100123133312202 its reverse (202213331321001), we get a palindrome (302336464633203).

The spelling of 100123133312202 in words is "one hundred trillion, one hundred twenty-three billion, one hundred thirty-three million, three hundred twelve thousand, two hundred two".