10123021123120 has 80 divisors (see below), whose sum is σ = 23659704878400. Its totient is φ = 4027939356672.

The previous prime is 10123021123109. The next prime is 10123021123121. The reversal of 10123021123120 is 2132112032101.

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

It is not an unprimeable number, because it can be changed into a prime (10123021123121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71776512 + ... + 71917408.

It is an arithmetic number, because the mean of its divisors is an integer number (295746310980).

Almost surely, 2^{10123021123120} is an apocalyptic number.

10123021123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123021123120 is an abundant number, since it is smaller than the sum of its proper divisors (13536683755280).

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

10123021123120 is a wasteful number, since it uses less digits than its factorization.

10123021123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145622 (or 145616 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10123021123120 its reverse (2132112032101), we get a palindrome (12255133155221).

The spelling of 10123021123120 in words is "ten trillion, one hundred twenty-three billion, twenty-one million, one hundred twenty-three thousand, one hundred twenty".