10210002020100 has 324 divisors, whose sum is σ = 32462035085844. Its totient is φ = 2684131706880.

The previous prime is 10210002020093. The next prime is 10210002020171. The reversal of 10210002020100 is 102020001201.

It can be written as a sum of positive squares in 6 ways, for example, as 1176166278144 + 9033835741956 = 1084512^2 + 3005634^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6161738472 + ... + 6161740128.

Almost surely, 2^{10210002020100} is an apocalyptic number.

10210002020100 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 10210002020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231017542922).

10210002020100 is an abundant number, since it is smaller than the sum of its proper divisors (22252033065744).

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

10210002020100 is a wasteful number, since it uses less digits than its factorization.

10210002020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10210002020100 its reverse (102020001201), we get a palindrome (10312022021301).

The spelling of 10210002020100 in words is "ten trillion, two hundred ten billion, two million, twenty thousand, one hundred".