100002022020100 has 36 divisors (see below), whose sum is σ = 224487297713700. Its totient is φ = 38621470572160.

The previous prime is 100002022020049. The next prime is 100002022020127. The reversal of 100002022020100 is 1020220200001.

It can be written as a sum of positive squares in 6 ways, for example, as 6322891295296 + 93679130724804 = 2514536^2 + 9678798^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17241725035 + ... + 17241730834.

It is an arithmetic number, because the mean of its divisors is an integer number (6235758269825).

Almost surely, 2^{100002022020100} is an apocalyptic number.

100002022020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002022020100 is an abundant number, since it is smaller than the sum of its proper divisors (124485275693600).

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

100002022020100 is a wasteful number, since it uses less digits than its factorization.

100002022020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34483455912 (or 34483455905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100002022020100 its reverse (1020220200001), we get a palindrome (101022242220101).

The spelling of 100002022020100 in words is "one hundred trillion, two billion, twenty-two million, twenty thousand, one hundred".