1011001002011 has 64 divisors (see below), whose sum is σ = 1375375389696. Its totient is φ = 717626304000.

The previous prime is 1011001001963. The next prime is 1011001002013. The reversal of 1011001002011 is 1102001001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1011001002011 - 2¹⁸ = 1011000739867 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011001002011.

It is not an unprimeable number, because it can be changed into a prime (1011001002013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31021721 + ... + 31054293.

It is an arithmetic number, because the mean of its divisors is an integer number (21490240464).

Almost surely, 2^{1011001002011} is an apocalyptic number.

1011001002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011001002011 is a deficient number, since it is larger than the sum of its proper divisors (364374387685).

1011001002011 is a wasteful number, since it uses less digits than its factorization.

1011001002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33012.

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

Adding to 1011001002011 its reverse (1102001001101), we get a palindrome (2113002003112).

The spelling of 1011001002011 in words is "one trillion, eleven billion, one million, two thousand, eleven".