10121002211200 has 192 divisors, whose sum is σ = 26106887311200. Its totient is φ = 3869740892160.

The previous prime is 10121002211189. The next prime is 10121002211237. The reversal of 10121002211200 is 211220012101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109544224 + ... + 109636576.

Almost surely, 2^{10121002211200} is an apocalyptic number.

10121002211200 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 10121002211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053443655600).

10121002211200 is an abundant number, since it is smaller than the sum of its proper divisors (15985885100000).

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

10121002211200 is a wasteful number, since it uses less digits than its factorization.

10121002211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93889 (or 93872 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10121002211200 its reverse (211220012101), we get a palindrome (10332222223301).

The spelling of 10121002211200 in words is "ten trillion, one hundred twenty-one billion, two million, two hundred eleven thousand, two hundred".