10121220000 has 240 divisors, whose sum is σ = 36890441280. Its totient is φ = 2698848000.

The previous prime is 10121219993. The next prime is 10121220001. The reversal of 10121220000 is 2212101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10121220001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 530629 + ... + 549371.

It is an arithmetic number, because the mean of its divisors is an integer number (153710172).

Almost surely, 2^10121220000 is an apocalyptic number.

10121220000 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 10121220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18445220640).

10121220000 is an abundant number, since it is smaller than the sum of its proper divisors (26769221280).

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

10121220000 is an equidigital number, since it uses as much as digits as its factorization.

10121220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18782 (or 18753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10121220000 its reverse (2212101), we get a palindrome (10123432101).

The spelling of 10121220000 in words is "ten billion, one hundred twenty-one million, two hundred twenty thousand".