1002111112000 has 112 divisors (see below), whose sum is σ = 2483313822288. Its totient is φ = 400588339200.

The previous prime is 1002111111971. The next prime is 1002111112003. The reversal of 1002111112000 is 2111112001.

It can be written as a sum of positive squares in 8 ways, for example, as 636076431936 + 366034680064 = 797544^2 + 605008^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002111112003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12736782 + ... + 12815218.

Almost surely, 2^{1002111112000} is an apocalyptic number.

1002111112000 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 1002111112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241656911144).

1002111112000 is an abundant number, since it is smaller than the sum of its proper divisors (1481202710288).

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

1002111112000 is an equidigital number, since it uses as much as digits as its factorization.

1002111112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80061 (or 80041 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1002111112000 its reverse (2111112001), we get a palindrome (1004222224001).

Subtracting from 1002111112000 its reverse (2111112001), we obtain a palindrome (999999999999).

It can be divided in two parts, 1002111 and 112000, that added together give a palindrome (1114111).

The spelling of 1002111112000 in words is "one trillion, two billion, one hundred eleven million, one hundred twelve thousand".