1101111002000 has 40 divisors (see below), whose sum is σ = 2662486407672. Its totient is φ = 440444400000.

The previous prime is 1101111001979. The next prime is 1101111002009. The reversal of 1101111002000 is 2001111011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36945452944 + 1064165549056 = 192212^2 + 1031584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1101111002009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275275751 + ... + 275279750.

Almost surely, 2^{1101111002000} is an apocalyptic number.

1101111002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101111002000 is an abundant number, since it is smaller than the sum of its proper divisors (1561375405672).

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

1101111002000 is an equidigital number, since it uses as much as digits as its factorization.

1101111002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550555524 (or 550555508 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1101111002000 its reverse (2001111011), we get a palindrome (1103112113011).

It can be divided in two parts, 110111 and 1002000, that added together give a palindrome (1112111).

The spelling of 1101111002000 in words is "one trillion, one hundred one billion, one hundred eleven million, two thousand".