11211110101001 has 2 divisors, whose sum is σ = 11211110101002. Its totient is φ = 11211110101000.

The previous prime is 11211110100991. The next prime is 11211110101097. The reversal of 11211110101001 is 10010101111211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6560380632976 + 4650729468025 = 2561324^2 + 2156555^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211110101001 - 2¹⁸ = 11211109838857 is a prime.

It is not a weakly prime, because it can be changed into another prime (11211110101501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5605555050500 + 5605555050501.

It is an arithmetic number, because the mean of its divisors is an integer number (5605555050501).

Almost surely, 2^{11211110101001} is an apocalyptic number.

It is an amenable number.

11211110101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211110101001 is an equidigital number, since it uses as much as digits as its factorization.

11211110101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11211110101001 its reverse (10010101111211), we get a palindrome (21221211212212).

The spelling of 11211110101001 in words is "eleven trillion, two hundred eleven billion, one hundred ten million, one hundred one thousand, one".