10220310030000 has 400 divisors, whose sum is σ = 37745483578880. Its totient is φ = 2333608704000.

The previous prime is 10220310029981. The next prime is 10220310030071. The reversal of 10220310030000 is 3001302201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

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 79 ways as a sum of consecutive naturals, for example, 203044836 + ... + 203095164.

Almost surely, 2^{10220310030000} is an apocalyptic number.

10220310030000 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 10220310030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18872741789440).

10220310030000 is an abundant number, since it is smaller than the sum of its proper divisors (27525173548880).

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

10220310030000 is an equidigital number, since it uses as much as digits as its factorization.

10220310030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51334 (or 51313 counting only the distinct ones).

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

Adding to 10220310030000 its reverse (3001302201), we get a palindrome (10223311332201).

The spelling of 10220310030000 in words is "ten trillion, two hundred twenty billion, three hundred ten million, thirty thousand".