100201020420 has 96 divisors (see below), whose sum is σ = 287137065600. Its totient is φ = 26099933184.

The previous prime is 100201020397. The next prime is 100201020443. The reversal of 100201020420 is 24020102001.

It is an interprime number because it is at equal distance from previous prime (100201020397) and next prime (100201020443).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100201020396 and 100201020405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465636 + ... + 645924.

It is an arithmetic number, because the mean of its divisors is an integer number (2991011100).

Almost surely, 2^100201020420 is an apocalyptic number.

100201020420 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 100201020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143568532800).

100201020420 is an abundant number, since it is smaller than the sum of its proper divisors (186936045180).

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

100201020420 is a wasteful number, since it uses less digits than its factorization.

100201020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180517 (or 180515 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100201020420 its reverse (24020102001), we get a palindrome (124221122421).

The spelling of 100201020420 in words is "one hundred billion, two hundred one million, twenty thousand, four hundred twenty".