100002003101022 has 128 divisors (see below), whose sum is σ = 226305291294720. Its totient is φ = 29181600000000.

The previous prime is 100002003100907. The next prime is 100002003101027. The reversal of 100002003101022 is 220101300200001.

It is a junction number, because it is equal to n+sod(n) for n = 100002003100989 and 100002003101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002003101027) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1111076022 + ... + 1111166022.

It is an arithmetic number, because the mean of its divisors is an integer number (1768010088240).

Almost surely, 2^{100002003101022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100002003101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113152645647360).

100002003101022 is an abundant number, since it is smaller than the sum of its proper divisors (126303288193698).

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

100002003101022 is a wasteful number, since it uses less digits than its factorization.

100002003101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91570.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100002003101022 its reverse (220101300200001), we get a palindrome (320103303301023).

The spelling of 100002003101022 in words is "one hundred trillion, two billion, three million, one hundred one thousand, twenty-two".