10223002110000 has 200 divisors, whose sum is σ = 33418958510080. Its totient is φ = 2691625248000.

The previous prime is 10223002109959. The next prime is 10223002110017. The reversal of 10223002110000 is 1120032201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×10223002110000³ (a number of 40 digits) contains 333 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213249 + ... + 4526751.

Almost surely, 2^{10223002110000} is an apocalyptic number.

10223002110000 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 10223002110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16709479255040).

10223002110000 is an abundant number, since it is smaller than the sum of its proper divisors (23195956400080).

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

10223002110000 is an equidigital number, since it uses as much as digits as its factorization.

10223002110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313613 (or 4313592 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10223002110000 its reverse (1120032201), we get a palindrome (10224122142201).

The spelling of 10223002110000 in words is "ten trillion, two hundred twenty-three billion, two million, one hundred ten thousand".