1001112101120 has 72 divisors (see below), whose sum is σ = 2456463686040. Its totient is φ = 390677872640.

The previous prime is 1001112101113. The next prime is 1001112101147. The reversal of 1001112101120 is 211012111001.

It can be written as a sum of positive squares in 4 ways, for example, as 45066194944 + 956045906176 = 212288^2 + 977776^2 .

It is a super-2 number, since 2×1001112101120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9485555 + ... + 9590514.

It is an arithmetic number, because the mean of its divisors is an integer number (34117551195).

Almost surely, 2^{1001112101120} is an apocalyptic number.

1001112101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001112101120 is an abundant number, since it is smaller than the sum of its proper divisors (1455351584920).

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

1001112101120 is an equidigital number, since it uses as much as digits as its factorization.

1001112101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19076131 (or 19076117 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001112101120 its reverse (211012111001), we get a palindrome (1212124212121).

The spelling of 1001112101120 in words is "one trillion, one billion, one hundred twelve million, one hundred one thousand, one hundred twenty".