10001122001112 has 256 divisors, whose sum is σ = 28221289367040. Its totient is φ = 2927232000000.

The previous prime is 10001122001099. The next prime is 10001122001141. The reversal of 10001122001112 is 21110022110001.

It is a super-2 number, since 2×10001122001112² (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1010107362 + ... + 1010117262.

It is an arithmetic number, because the mean of its divisors is an integer number (110239411590).

Almost surely, 2^{10001122001112} is an apocalyptic number.

10001122001112 is a gapful number since it is divisible by the number (12) 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 10001122001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110644683520).

10001122001112 is an abundant number, since it is smaller than the sum of its proper divisors (18220167365928).

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

10001122001112 is a wasteful number, since it uses less digits than its factorization.

10001122001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946 (or 10942 counting only the distinct ones).

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

Adding to 10001122001112 its reverse (21110022110001), we get a palindrome (31111144111113).

The spelling of 10001122001112 in words is "ten trillion, one billion, one hundred twenty-two million, one thousand, one hundred twelve".