10122201111000 has 512 divisors, whose sum is σ = 35424157317120. Its totient is φ = 2384798976000.

The previous prime is 10122201110977. The next prime is 10122201111013. The reversal of 10122201111000 is 11110222101.

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, 1180702714 + ... + 1180711286.

It is an arithmetic number, because the mean of its divisors is an integer number (69187807260).

Almost surely, 2^{10122201111000} is an apocalyptic number.

10122201111000 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 10122201111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712078658560).

10122201111000 is an abundant number, since it is smaller than the sum of its proper divisors (25301956206120).

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

10122201111000 is a wasteful number, since it uses less digits than its factorization.

10122201111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9612 (or 9598 counting only the distinct ones).

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

Adding to 10122201111000 its reverse (11110222101), we get a palindrome (10133311333101).

It can be divided in two parts, 10122201 and 111000, that added together give a palindrome (10233201).

The spelling of 10122201111000 in words is "ten trillion, one hundred twenty-two billion, two hundred one million, one hundred eleven thousand".