100010201020 has 48 divisors (see below), whose sum is σ = 212010986880. Its totient is φ = 39625334784.

The previous prime is 100010200987. The next prime is 100010201021. The reversal of 100010201020 is 20102010001.

It is a junction number, because it is equal to n+sod(n) for n = 100010200994 and 100010201012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010201021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13702012 + ... + 13709308.

It is an arithmetic number, because the mean of its divisors is an integer number (4416895560).

Almost surely, 2^100010201020 is an apocalyptic number.

100010201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010201020 is an abundant number, since it is smaller than the sum of its proper divisors (112000785860).

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

100010201020 is a wasteful number, since it uses less digits than its factorization.

100010201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13702 (or 13700 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100010201020 its reverse (20102010001), we get a palindrome (120112211021).

The spelling of 100010201020 in words is "one hundred billion, ten million, two hundred one thousand, twenty".