10121223102120 has 384 divisors, whose sum is σ = 35765818583040. Its totient is φ = 2467466496000.

The previous prime is 10121223102103. The next prime is 10121223102131. The reversal of 10121223102120 is 2120132212101.

10121223102120 is a `hidden beast` number, since 1 + 0 + 121 + 22 + 310 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10121223102093 and 10121223102102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216468745 + ... + 216515495.

It is an arithmetic number, because the mean of its divisors is an integer number (93140152560).

Almost surely, 2^{10121223102120} is an apocalyptic number.

10121223102120 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 10121223102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882909291520).

10121223102120 is an abundant number, since it is smaller than the sum of its proper divisors (25644595480920).

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

10121223102120 is a wasteful number, since it uses less digits than its factorization.

10121223102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47225 (or 47218 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10121223102120 its reverse (2120132212101), we get a palindrome (12241355314221).

The spelling of 10121223102120 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-three million, one hundred two thousand, one hundred twenty".