1001112221120 has 84 divisors (see below), whose sum is σ = 2620318261512. Its totient is φ = 364040793600.

The previous prime is 1001112221101. The next prime is 1001112221129. The reversal of 1001112221120 is 211222111001.

It is a junction number, because it is equal to n+sod(n) for n = 1001112221095 and 1001112221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112221129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12888866 + ... + 12966305.

It is an arithmetic number, because the mean of its divisors is an integer number (31194265018).

Almost surely, 2^{1001112221120} is an apocalyptic number.

1001112221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001112221120 is an abundant number, since it is smaller than the sum of its proper divisors (1619206040392).

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

1001112221120 is a wasteful number, since it uses less digits than its factorization.

1001112221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25855210 (or 25855189 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001112221120 its reverse (211222111001), we get a palindrome (1212334332121).

The spelling of 1001112221120 in words is "one trillion, one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".