10222021010000 has 100 divisors (see below), whose sum is σ = 24751234569600. Its totient is φ = 4088362416000.

The previous prime is 10222021009999. The next prime is 10222021010053. The reversal of 10222021010000 is 1012022201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100739291 + ... + 100840709.

It is an arithmetic number, because the mean of its divisors is an integer number (247512345696).

Almost surely, 2^{10222021010000} is an apocalyptic number.

10222021010000 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 10222021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375617284800).

10222021010000 is an abundant number, since it is smaller than the sum of its proper divisors (14529213559600).

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

10222021010000 is a wasteful number, since it uses less digits than its factorization.

10222021010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111526 (or 111505 counting only the distinct ones).

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

Adding to 10222021010000 its reverse (1012022201), we get a palindrome (10223033032201).

The spelling of 10222021010000 in words is "ten trillion, two hundred twenty-two billion, twenty-one million, ten thousand".