100110220002 has 96 divisors (see below), whose sum is σ = 242373261312. Its totient is φ = 30786459264.

The previous prime is 100110219983. The next prime is 100110220013. The reversal of 100110220002 is 200022011001.

It is a super-2 number, since 2×100110220002² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16973518 + ... + 16979414.

It is an arithmetic number, because the mean of its divisors is an integer number (2524721472).

Almost surely, 2^100110220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121186630656).

100110220002 is an abundant number, since it is smaller than the sum of its proper divisors (142263041310).

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

100110220002 is a wasteful number, since it uses less digits than its factorization.

100110220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100110220002 its reverse (200022011001), we get a palindrome (300132231003).

The spelling of 100110220002 in words is "one hundred billion, one hundred ten million, two hundred twenty thousand, two".