10100211200 has 120 divisors (see below), whose sum is σ = 25249129488. Its totient is φ = 4003758080.

The previous prime is 10100211169. The next prime is 10100211203. The reversal of 10100211200 is 211200101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100211203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1442909 + ... + 1449891.

Almost surely, 2^10100211200 is an apocalyptic number.

10100211200 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 10100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12624564744).

10100211200 is an abundant number, since it is smaller than the sum of its proper divisors (15148918288).

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

10100211200 is an equidigital number, since it uses as much as digits as its factorization.

10100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 7103 counting only the distinct ones).

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

Adding to 10100211200 its reverse (211200101), we get a palindrome (10311411301).

The spelling of 10100211200 in words is "ten billion, one hundred million, two hundred eleven thousand, two hundred".