211001001011001 has 12 divisors (see below), whose sum is σ = 304786799936320. Its totient is φ = 140663837274840.

The previous prime is 211001001010957. The next prime is 211001001011063. The reversal of 211001001011001 is 100110100100112.

It is not a de Polignac number, because 211001001011001 - 2⁷ = 211001001010873 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211001001011201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291012181 + ... + 291736338.

Almost surely, 2^{211001001011001} is an apocalyptic number.

It is an amenable number.

211001001011001 is a deficient number, since it is larger than the sum of its proper divisors (93785798925319).

211001001011001 is a wasteful number, since it uses less digits than its factorization.

211001001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582788756 (or 582788753 counting only the distinct ones).

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

Adding to 211001001011001 its reverse (100110100100112), we get a palindrome (311111101111113).

The spelling of 211001001011001 in words is "two hundred eleven trillion, one billion, one million, eleven thousand, one".