100100002020 has 96 divisors (see below), whose sum is σ = 288003945600. Its totient is φ = 25958467584.

The previous prime is 100100001997. The next prime is 100100002033. The reversal of 100100002020 is 20200001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 31 ways as a sum of consecutive naturals, for example, 4715791 + ... + 4736969.

It is an arithmetic number, because the mean of its divisors is an integer number (3000041100).

Almost surely, 2^100100002020 is an apocalyptic number.

100100002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144001972800).

100100002020 is an abundant number, since it is smaller than the sum of its proper divisors (187903943580).

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

100100002020 is a wasteful number, since it uses less digits than its factorization.

100100002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23357 (or 23355 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100100002020 its reverse (20200001001), we get a palindrome (120300003021).

The spelling of 100100002020 in words is "one hundred billion, one hundred million, two thousand, twenty".