100000202022 has 128 divisors (see below), whose sum is σ = 255688704000. Its totient is φ = 28378535328.

The previous prime is 100000202009. The next prime is 100000202023. The reversal of 100000202022 is 220202000001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100000201995 and 100000202013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000202023) 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, 81765703 + ... + 81766925.

It is an arithmetic number, because the mean of its divisors is an integer number (1997568000).

Almost surely, 2^100000202022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127844352000).

100000202022 is an abundant number, since it is smaller than the sum of its proper divisors (155688501978).

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

100000202022 is a wasteful number, since it uses less digits than its factorization.

100000202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100000202022 its reverse (220202000001), we get a palindrome (320202202023).

The spelling of 100000202022 in words is "one hundred billion, two hundred two thousand, twenty-two".