22102021010000 has 100 divisors (see below), whose sum is σ = 53551560165312. Its totient is φ = 8834140848000.

The previous prime is 22102021009969. The next prime is 22102021010107. The reversal of 22102021010000 is 1012020122.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12437219 + ... + 14102781.

Almost surely, 2^{22102021010000} is an apocalyptic number.

22102021010000 is a gapful number since it is divisible by the number (20) 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 22102021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26775780082656).

22102021010000 is an abundant number, since it is smaller than the sum of its proper divisors (31449539155312).

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

22102021010000 is a wasteful number, since it uses less digits than its factorization.

22102021010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666918 (or 1666897 counting only the distinct ones).

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

Adding to 22102021010000 its reverse (1012020122), we get a palindrome (22103033030122).

The spelling of 22102021010000 in words is "twenty-two trillion, one hundred two billion, twenty-one million, ten thousand".