10111201122000 has 640 divisors, whose sum is σ = 36568585317888. Its totient is φ = 2381985792000.

The previous prime is 10111201121993. The next prime is 10111201122041. The reversal of 10111201122000 is 22110211101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2434671924 + ... + 2434676076.

Almost surely, 2^{10111201122000} is an apocalyptic number.

10111201122000 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 10111201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284292658944).

10111201122000 is an abundant number, since it is smaller than the sum of its proper divisors (26457384195888).

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

10111201122000 is a wasteful number, since it uses less digits than its factorization.

10111201122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111201122000 its reverse (22110211101), we get a palindrome (10133311333101).

It can be divided in two parts, 10111201 and 122000, that added together give a palindrome (10233201).

The spelling of 10111201122000 in words is "ten trillion, one hundred eleven billion, two hundred one million, one hundred twenty-two thousand".