10123301012000 has 384 divisors, whose sum is σ = 27304240803840. Its totient is φ = 3658193280000.

The previous prime is 10123301011981. The next prime is 10123301012009. The reversal of 10123301012000 is 21010332101.

It is not an unprimeable number, because it can be changed into a prime (10123301012009) 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, 8528475407 + ... + 8528476593.

It is an arithmetic number, because the mean of its divisors is an integer number (71104793760).

Almost surely, 2^{10123301012000} is an apocalyptic number.

10123301012000 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 10123301012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652120401920).

10123301012000 is an abundant number, since it is smaller than the sum of its proper divisors (17180939791840).

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

10123301012000 is a wasteful number, since it uses less digits than its factorization.

10123301012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10123301012000 its reverse (21010332101), we get a palindrome (10144311344101).

It can be divided in two parts, 1012330101 and 2000, that added together give a palindrome (1012332101).

The spelling of 10123301012000 in words is "ten trillion, one hundred twenty-three billion, three hundred one million, twelve thousand".