10110011122000 has 80 divisors (see below), whose sum is σ = 24464978226000. Its totient is φ = 4040866099200.

The previous prime is 10110011121953. The next prime is 10110011122007. The reversal of 10110011122000 is 22111001101.

It can be written as a sum of positive squares in 8 ways, for example, as 2667525161536 + 7442485960464 = 1633256^2 + 2728092^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110011122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617176 + ... + 4538824.

It is an arithmetic number, because the mean of its divisors is an integer number (305812227825).

Almost surely, 2^{10110011122000} is an apocalyptic number.

10110011122000 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 10110011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12232489113000).

10110011122000 is an abundant number, since it is smaller than the sum of its proper divisors (14354967104000).

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

10110011122000 is a wasteful number, since it uses less digits than its factorization.

10110011122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922961 (or 3922945 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10110011122000 its reverse (22111001101), we get a palindrome (10132122123101).

The spelling of 10110011122000 in words is "ten trillion, one hundred ten billion, eleven million, one hundred twenty-two thousand".