10001211001011 has 12 divisors (see below), whose sum is σ = 15206519650920. Its totient is φ = 6316554316320.

The previous prime is 10001211000997. The next prime is 10001211001057. The reversal of 10001211001011 is 11010011210001.

It is not a de Polignac number, because 10001211001011 - 2⁹ = 10001211000499 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 = 10001211000984 and 10001211001002.

It is not an unprimeable number, because it can be changed into a prime (10001211001811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29243306850 + ... + 29243307191.

It is an arithmetic number, because the mean of its divisors is an integer number (1267209970910).

Almost surely, 2^{10001211001011} is an apocalyptic number.

10001211001011 is a deficient number, since it is larger than the sum of its proper divisors (5205308649909).

10001211001011 is a wasteful number, since it uses less digits than its factorization.

10001211001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58486614066 (or 58486614063 counting only the distinct ones).

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

Adding to 10001211001011 its reverse (11010011210001), we get a palindrome (21011222211012).

The spelling of 10001211001011 in words is "ten trillion, one billion, two hundred eleven million, one thousand, eleven".