10021211010200 has 96 divisors (see below), whose sum is σ = 26567545505760. Its totient is φ = 3482484172800.

The previous prime is 10021211010143. The next prime is 10021211010241. The reversal of 10021211010200 is 201011212001.

It is a super-2 number, since 2×10021211010200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113317916 + ... + 113406315.

It is an arithmetic number, because the mean of its divisors is an integer number (276745265685).

Almost surely, 2^{10021211010200} is an apocalyptic number.

10021211010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021211010200 is an abundant number, since it is smaller than the sum of its proper divisors (16546334495560).

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

10021211010200 is a wasteful number, since it uses less digits than its factorization.

10021211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226724277 (or 226724268 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10021211010200 its reverse (201011212001), we get a palindrome (10222222222201).

The spelling of 10021211010200 in words is "ten trillion, twenty-one billion, two hundred eleven million, ten thousand, two hundred".