1121110201000 has 64 divisors (see below), whose sum is σ = 2649372345360. Its totient is φ = 444004000000.

The previous prime is 1121110200941. The next prime is 1121110201019. The reversal of 1121110201000 is 1020111211.

It can be written as a sum of positive squares in 8 ways, for example, as 357587256196 + 763522944804 = 597986^2 + 873798^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5449051 + ... + 5651050.

Almost surely, 2^{1121110201000} is an apocalyptic number.

1121110201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121110201000 is an abundant number, since it is smaller than the sum of its proper divisors (1528262144360).

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

1121110201000 is a wasteful number, since it uses less digits than its factorization.

1121110201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100223 (or 11100209 counting only the distinct ones).

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

Adding to 1121110201000 its reverse (1020111211), we get a palindrome (1122130312211).

The spelling of 1121110201000 in words is "one trillion, one hundred twenty-one billion, one hundred ten million, two hundred one thousand".