10223012010120 has 256 divisors, whose sum is σ = 38043727626240. Its totient is φ = 2139959098368.

The previous prime is 10223012010119. The next prime is 10223012010161. The reversal of 10223012010120 is 2101021032201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10223012010120.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2298882 + ... + 5072561.

It is an arithmetic number, because the mean of its divisors is an integer number (148608311040).

Almost surely, 2^{10223012010120} is an apocalyptic number.

10223012010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223012010120 is an abundant number, since it is smaller than the sum of its proper divisors (27820715616120).

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

10223012010120 is a wasteful number, since it uses less digits than its factorization.

10223012010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7371604 (or 7371600 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10223012010120 its reverse (2101021032201), we get a palindrome (12324033042321).

The spelling of 10223012010120 in words is "ten trillion, two hundred twenty-three billion, twelve million, ten thousand, one hundred twenty".