22010111010000 has 600 divisors, whose sum is σ = 78197329294656. Its totient is φ = 5776323840000.

The previous prime is 22010111009993. The next prime is 22010111010007. The reversal of 22010111010000 is 1011101022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22010111009993) and next prime (22010111010007).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010111010007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3225866589 + ... + 3225873411.

Almost surely, 2^{22010111010000} is an apocalyptic number.

22010111010000 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 22010111010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39098664647328).

22010111010000 is an abundant number, since it is smaller than the sum of its proper divisors (56187218284656).

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

22010111010000 is a wasteful number, since it uses less digits than its factorization.

22010111010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 22010111010000 its reverse (1011101022), we get a palindrome (22011122111022).

The spelling of 22010111010000 in words is "twenty-two trillion, ten billion, one hundred eleven million, ten thousand".