10202210020100 has 288 divisors, whose sum is σ = 27420404981760. Its totient is φ = 3219114032640.

The previous prime is 10202210020099. The next prime is 10202210020117. The reversal of 10202210020100 is 102001220201.

It is a happy number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 44531042 + ... + 44759558.

It is an arithmetic number, because the mean of its divisors is an integer number (95209739520).

Almost surely, 2^{10202210020100} is an apocalyptic number.

10202210020100 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 10202210020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710202490880).

10202210020100 is an abundant number, since it is smaller than the sum of its proper divisors (17218194961660).

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

10202210020100 is a wasteful number, since it uses less digits than its factorization.

10202210020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228667 (or 228660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202210020100 its reverse (102001220201), we get a palindrome (10304211240301).

The spelling of 10202210020100 in words is "ten trillion, two hundred two billion, two hundred ten million, twenty thousand, one hundred".