10120211210000 has 100 divisors (see below), whose sum is σ = 24585675199932. Its totient is φ = 4034267328000.

The previous prime is 10120211209877. The next prime is 10120211210023. The reversal of 10120211210000 is 1211202101.

It can be written as a sum of positive squares in 10 ways, for example, as 4377267364864 + 5742943845136 = 2092192^2 + 2396444^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1203002 + ... + 4656998.

Almost surely, 2^{10120211210000} is an apocalyptic number.

10120211210000 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 10120211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292837599966).

10120211210000 is an abundant number, since it is smaller than the sum of its proper divisors (14465463989932).

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

10120211210000 is an equidigital number, since it uses as much as digits as its factorization.

10120211210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454318 (or 3454297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10120211210000 its reverse (1211202101), we get a palindrome (10121422412101).

The spelling of 10120211210000 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, two hundred ten thousand".