1001011011012 has 36 divisors (see below), whose sum is σ = 2531607013936. Its totient is φ = 333502386480.

The previous prime is 1001011010933. The next prime is 1001011011023. The reversal of 1001011011012 is 2101101101001.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1001011010985 and 1001011011003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6925414 + ... + 7068477.

Almost surely, 2^{1001011011012} is an apocalyptic number.

1001011011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001011011012 is an abundant number, since it is smaller than the sum of its proper divisors (1530596002924).

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

1001011011012 is a wasteful number, since it uses less digits than its factorization.

1001011011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13995888 (or 13995883 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001011011012 its reverse (2101101101001), we get a palindrome (3102112112013).

The spelling of 1001011011012 in words is "one trillion, one billion, eleven million, eleven thousand, twelve".