1011112002000 has 120 divisors (see below), whose sum is σ = 3531477248520. Its totient is φ = 269629862400.

The previous prime is 1011112001953. The next prime is 1011112002011. The reversal of 1011112002000 is 2002111101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133982353296 + 877129648704 = 366036^2 + 936552^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28068445 + ... + 28104444.

It is an arithmetic number, because the mean of its divisors is an integer number (29428977071).

Almost surely, 2^{1011112002000} is an apocalyptic number.

1011112002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011112002000 is an abundant number, since it is smaller than the sum of its proper divisors (2520365246520).

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

1011112002000 is a wasteful number, since it uses less digits than its factorization.

1011112002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56172918 (or 56172899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011112002000 its reverse (2002111101), we get a palindrome (1013114113101).

The spelling of 1011112002000 in words is "one trillion, eleven billion, one hundred twelve million, two thousand".