10121030023120 has 80 divisors (see below), whose sum is σ = 24349145304960. Its totient is φ = 3907796275712.

The previous prime is 10121030023067. The next prime is 10121030023193. The reversal of 10121030023120 is 2132003012101.

10121030023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10121030023094 and 10121030023103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8397507 + ... + 9526813.

It is an arithmetic number, because the mean of its divisors is an integer number (304364316312).

Almost surely, 2^{10121030023120} is an apocalyptic number.

10121030023120 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 10121030023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12174572652480).

10121030023120 is an abundant number, since it is smaller than the sum of its proper divisors (14228115281840).

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

10121030023120 is a wasteful number, since it uses less digits than its factorization.

10121030023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133212 (or 1133206 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10121030023120 its reverse (2132003012101), we get a palindrome (12253033035221).

The spelling of 10121030023120 in words is "ten trillion, one hundred twenty-one billion, thirty million, twenty-three thousand, one hundred twenty".