10222200201000 has 128 divisors (see below), whose sum is σ = 33279928531200. Its totient is φ = 2607401772800.

The previous prime is 10222200200983. The next prime is 10222200201007. The reversal of 10222200201000 is 10200222201.

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

It is not an unprimeable number, because it can be changed into a prime (10222200201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74004915 + ... + 74142914.

It is an arithmetic number, because the mean of its divisors is an integer number (259999441650).

Almost surely, 2^{10222200201000} is an apocalyptic number.

10222200201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222200201000 is an abundant number, since it is smaller than the sum of its proper divisors (23057728330200).

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

10222200201000 is a wasteful number, since it uses less digits than its factorization.

10222200201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148147876 (or 148147862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10222200201000 its reverse (10200222201), we get a palindrome (10232400423201).

The spelling of 10222200201000 in words is "ten trillion, two hundred twenty-two billion, two hundred million, two hundred one thousand".