1001122121112 has 128 divisors (see below), whose sum is σ = 2777121884160. Its totient is φ = 299131965440.

The previous prime is 1001122121063. The next prime is 1001122121113. The reversal of 1001122121112 is 2111212211001.

It is a happy number.

It is a super-2 number, since 2×1001122121112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001122121091 and 1001122121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001122121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957537 + ... + 2415407.

It is an arithmetic number, because the mean of its divisors is an integer number (21696264720).

Almost surely, 2^{1001122121112} is an apocalyptic number.

1001122121112 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 1001122121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388560942080).

1001122121112 is an abundant number, since it is smaller than the sum of its proper divisors (1775999763048).

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

1001122121112 is a wasteful number, since it uses less digits than its factorization.

1001122121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458153 (or 458149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1001122121112 its reverse (2111212211001), we get a palindrome (3112334332113).

The spelling of 1001122121112 in words is "one trillion, one billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".