100123001330202 has 128 divisors (see below), whose sum is σ = 235387841356800. Its totient is φ = 31458313051200.

The previous prime is 100123001330159. The next prime is 100123001330203. The reversal of 100123001330202 is 202033100321001.

100123001330202 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 300 + 1 + 330 + 20 + 2 = 666.

It is a super-2 number, since 2×100123001330202² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100123001330203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724509552 + ... + 724647732.

It is an arithmetic number, because the mean of its divisors is an integer number (1838967510600).

Almost surely, 2^{100123001330202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100123001330202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117693920678400).

100123001330202 is an abundant number, since it is smaller than the sum of its proper divisors (135264840026598).

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

100123001330202 is a wasteful number, since it uses less digits than its factorization.

100123001330202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141769 (or 141763 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100123001330202 its reverse (202033100321001), we get a palindrome (302156101651203).

The spelling of 100123001330202 in words is "one hundred trillion, one hundred twenty-three billion, one million, three hundred thirty thousand, two hundred two".