10121021200 has 120 divisors (see below), whose sum is σ = 25428336768. Its totient is φ = 3863946240.

The previous prime is 10121021149. The next prime is 10121021263. The reversal of 10121021200 is 212012101.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5675509 + ... + 5677291.

Almost surely, 2^10121021200 is an apocalyptic number.

10121021200 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 10121021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12714168384).

10121021200 is an abundant number, since it is smaller than the sum of its proper divisors (15307315568).

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

10121021200 is a wasteful number, since it uses less digits than its factorization.

10121021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2430 counting only the distinct ones).

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

Adding to 10121021200 its reverse (212012101), we get a palindrome (10333033301).

Subtracting from 10121021200 its reverse (212012101), we obtain a palindrome (9909009099).

The spelling of 10121021200 in words is "ten billion, one hundred twenty-one million, twenty-one thousand, two hundred".