10001020100 has 72 divisors (see below), whose sum is σ = 23216092200. Its totient is φ = 3726213120.

The previous prime is 10001020093. The next prime is 10001020123. The reversal of 10001020100 is 102010001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 330657856 + 9670362244 = 18184^2 + 98338^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134576 + ... + 195224.

It is an arithmetic number, because the mean of its divisors is an integer number (322445725).

Almost surely, 2^10001020100 is an apocalyptic number.

10001020100 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 10001020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11608046100).

10001020100 is an abundant number, since it is smaller than the sum of its proper divisors (13215072100).

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

10001020100 is a wasteful number, since it uses less digits than its factorization.

10001020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60777 (or 60770 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10001020100 its reverse (102010001), we get a palindrome (10103030101).

The spelling of 10001020100 in words is "ten billion, one million, twenty thousand, one hundred".