22002012101000 has 128 divisors (see below), whose sum is σ = 51569870283360. Its totient is φ = 8786257920000.

The previous prime is 22002012100889. The next prime is 22002012101023. The reversal of 22002012101000 is 10121020022.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3136037224996 + 18865974876004 = 1770886^2 + 4343498^2 .

It is an unprimeable number.

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, 2222196050 + ... + 2222205950.

Almost surely, 2^{22002012101000} is an apocalyptic number.

22002012101000 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 22002012101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25784935141680).

22002012101000 is an abundant number, since it is smaller than the sum of its proper divisors (29567858182360).

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

22002012101000 is a wasteful number, since it uses less digits than its factorization.

22002012101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13372 (or 13358 counting only the distinct ones).

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

Adding to 22002012101000 its reverse (10121020022), we get a palindrome (22012133121022).

The spelling of 22002012101000 in words is "twenty-two trillion, two billion, twelve million, one hundred one thousand".