1101001120000 has 90 divisors (see below), whose sum is σ = 2746248136478. Its totient is φ = 440400384000.

The previous prime is 1101001119947. The next prime is 1101001120007. The reversal of 1101001120000 is 211001011.

It can be written as a sum of positive squares in 5 ways, for example, as 727377002496 + 373624117504 = 852864^2 + 611248^2 .

It is not an unprimeable number, because it can be changed into a prime (1101001120007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3280629 + ... + 3600628.

Almost surely, 2^{1101001120000} is an apocalyptic number.

1101001120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101001120000 is an abundant number, since it is smaller than the sum of its proper divisors (1645247016478).

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

1101001120000 is an frugal number, since it uses more digits than its factorization.

1101001120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6881293 (or 6881264 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1101001120000 its reverse (211001011), we get a palindrome (1101212121011).

The spelling of 1101001120000 in words is "one trillion, one hundred one billion, one million, one hundred twenty thousand".