10001211200 has 84 divisors (see below), whose sum is σ = 24640580640. Its totient is φ = 3995389440.

The previous prime is 10001211191. The next prime is 10001211211. The reversal of 10001211200 is 211210001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1409261 + ... + 1416339.

Almost surely, 2^10001211200 is an apocalyptic number.

10001211200 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 10001211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12320290320).

10001211200 is an abundant number, since it is smaller than the sum of its proper divisors (14639369440).

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

10001211200 is an equidigital number, since it uses as much as digits as its factorization.

10001211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001211200 its reverse (211210001), we get a palindrome (10212421201).

The spelling of 10001211200 in words is "ten billion, one million, two hundred eleven thousand, two hundred".