10021211200 has 336 divisors, whose sum is σ = 33113130624. Its totient is φ = 2882764800.

The previous prime is 10021211197. The next prime is 10021211209. The reversal of 10021211200 is 211212001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10021211209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1598472 + ... + 1604728.

It is an arithmetic number, because the mean of its divisors is an integer number (98550984).

Almost surely, 2^10021211200 is an apocalyptic number.

10021211200 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 10021211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556565312).

10021211200 is an abundant number, since it is smaller than the sum of its proper divisors (23091919424).

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

10021211200 is a wasteful number, since it uses less digits than its factorization.

10021211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10021211200 its reverse (211212001), we get a palindrome (10232423201).

The spelling of 10021211200 in words is "ten billion, twenty-one million, two hundred eleven thousand, two hundred".