10122110021120 has 160 divisors (see below), whose sum is σ = 24382603476000. Its totient is φ = 4029993189376.

The previous prime is 10122110021113. The next prime is 10122110021123. The reversal of 10122110021120 is 2112001122101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10122110021120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122110021095 and 10122110021104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122110021123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481604852 + ... + 481625868.

It is an arithmetic number, because the mean of its divisors is an integer number (152391271725).

Almost surely, 2^{10122110021120} is an apocalyptic number.

10122110021120 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 10122110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12191301738000).

10122110021120 is an abundant number, since it is smaller than the sum of its proper divisors (14260493454880).

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

10122110021120 is an equidigital number, since it uses as much as digits as its factorization.

10122110021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21908 (or 21892 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10122110021120 its reverse (2112001122101), we get a palindrome (12234111143221).

The spelling of 10122110021120 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, twenty-one thousand, one hundred twenty".