10211110021120 has 96 divisors (see below), whose sum is σ = 24503833186560. Its totient is φ = 4083918520320.

The previous prime is 10211110021051. The next prime is 10211110021121. The reversal of 10211110021120 is 2112001111201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211110021120.

It is not an unprimeable number, because it can be changed into a prime (10211110021121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85044649 + ... + 85164631.

It is an arithmetic number, because the mean of its divisors is an integer number (255248262360).

Almost surely, 2^{10211110021120} is an apocalyptic number.

10211110021120 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 10211110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12251916593280).

10211110021120 is an abundant number, since it is smaller than the sum of its proper divisors (14292723165440).

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

10211110021120 is an equidigital number, since it uses as much as digits as its factorization.

10211110021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128321 (or 128301 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10211110021120 its reverse (2112001111201), we get a palindrome (12323111132321).

The spelling of 10211110021120 in words is "ten trillion, two hundred eleven billion, one hundred ten million, twenty-one thousand, one hundred twenty".