10211021202200 has 864 divisors, whose sum is σ = 30984373413360. Its totient is φ = 3117032755200.

The previous prime is 10211021202131. The next prime is 10211021202251. The reversal of 10211021202200 is 220212011201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5354493647 + ... + 5354495553.

Almost surely, 2^{10211021202200} is an apocalyptic number.

10211021202200 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 10211021202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15492186706680).

10211021202200 is an abundant number, since it is smaller than the sum of its proper divisors (20773352211160).

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

10211021202200 is a wasteful number, since it uses less digits than its factorization.

10211021202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10211021202200 its reverse (220212011201), we get a palindrome (10431233213401).

The spelling of 10211021202200 in words is "ten trillion, two hundred eleven billion, twenty-one million, two hundred two thousand, two hundred".