100103033003022 has 144 divisors (see below), whose sum is σ = 255982085903232. Its totient is φ = 28183924248480.

The previous prime is 100103033002979. The next prime is 100103033003033. The reversal of 100103033003022 is 220300330301001.

100103033003022 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 30 + 330 + 0 + 302 + 2 = 666.

It is a super-2 number, since 2×100103033003022² (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 a junction number, because it is equal to n+sod(n) for n = 100103033002986 and 100103033003004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125032833 + ... + 125830899.

It is an arithmetic number, because the mean of its divisors is an integer number (1777653374328).

Almost surely, 2^{100103033003022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100103033003022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127991042951616).

100103033003022 is an abundant number, since it is smaller than the sum of its proper divisors (155879052900210).

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

100103033003022 is a wasteful number, since it uses less digits than its factorization.

100103033003022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800163 (or 800153 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100103033003022 its reverse (220300330301001), we get a palindrome (320403363304023).

The spelling of 100103033003022 in words is "one hundred trillion, one hundred three billion, thirty-three million, three thousand, twenty-two".