10223010300000 has 288 divisors, whose sum is σ = 33602238319104. Its totient is φ = 2721248960000.

The previous prime is 10223010299993. The next prime is 10223010300001. The reversal of 10223010300000 is 301032201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223010300001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168869737 + ... + 168930263.

It is an arithmetic number, because the mean of its divisors is an integer number (116674438608).

Almost surely, 2^{10223010300000} is an apocalyptic number.

10223010300000 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 10223010300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16801119159552).

10223010300000 is an abundant number, since it is smaller than the sum of its proper divisors (23379228019104).

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

10223010300000 is an frugal number, since it uses more digits than its factorization.

10223010300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61128 (or 61100 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10223010300000 its reverse (301032201), we get a palindrome (10223311332201).

The spelling of 10223010300000 in words is "ten trillion, two hundred twenty-three billion, ten million, three hundred thousand".