10002211022000 has 80 divisors (see below), whose sum is σ = 24193691451072. Its totient is φ = 3999503897600.

The previous prime is 10002211021973. The next prime is 10002211022009. The reversal of 10002211022000 is 22011220001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10002211022009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4944632 + ... + 6667368.

Almost surely, 2^{10002211022000} is an apocalyptic number.

10002211022000 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 10002211022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096845725536).

10002211022000 is an abundant number, since it is smaller than the sum of its proper divisors (14191480429072).

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

10002211022000 is a wasteful number, since it uses less digits than its factorization.

10002211022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725663 (or 1725647 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10002211022000 its reverse (22011220001), we get a palindrome (10024222242001).

The spelling of 10002211022000 in words is "ten trillion, two billion, two hundred eleven million, twenty-two thousand".