10121223022120 has 256 divisors, whose sum is σ = 26718418944000. Its totient is φ = 3449113355520.

The previous prime is 10121223022109. The next prime is 10121223022121. The reversal of 10121223022120 is 2122032212101.

It is not an unprimeable number, because it can be changed into a prime (10121223022121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2152075689 + ... + 2152080391.

It is an arithmetic number, because the mean of its divisors is an integer number (104368824000).

Almost surely, 2^{10121223022120} is an apocalyptic number.

10121223022120 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 10121223022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359209472000).

10121223022120 is an abundant number, since it is smaller than the sum of its proper divisors (16597195921880).

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

10121223022120 is a wasteful number, since it uses less digits than its factorization.

10121223022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10121223022120 its reverse (2122032212101), we get a palindrome (12243255234221).

The spelling of 10121223022120 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-three million, twenty-two thousand, one hundred twenty".