10001001211011 has 12 divisors (see below), whose sum is σ = 15295648911192. Its totient is φ = 6275138014656.

The previous prime is 10001001210983. The next prime is 10001001211027. The reversal of 10001001211011 is 11011210010001.

It is not a de Polignac number, because 10001001211011 - 2⁵ = 10001001210979 is a prime.

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 = 10001001210984 and 10001001211002.

It is not an unprimeable number, because it can be changed into a prime (10001001211811) 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 11 ways as a sum of consecutive naturals, for example, 32683010341 + ... + 32683010646.

It is an arithmetic number, because the mean of its divisors is an integer number (1274637409266).

Almost surely, 2^{10001001211011} is an apocalyptic number.

10001001211011 is a deficient number, since it is larger than the sum of its proper divisors (5294647700181).

10001001211011 is a wasteful number, since it uses less digits than its factorization.

10001001211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65366021010 (or 65366021007 counting only the distinct ones).

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

Adding to 10001001211011 its reverse (11011210010001), we get a palindrome (21012211221012).

The spelling of 10001001211011 in words is "ten trillion, one billion, one million, two hundred eleven thousand, eleven".