211101101102001 has 32 divisors (see below), whose sum is σ = 310261524598656. Its totient is φ = 126605837120000.

The previous prime is 211101101101973. The next prime is 211101101102053. The reversal of 211101101102001 is 100201101101112.

It is a cyclic number.

It is not a de Polignac number, because 211101101102001 - 2⁷ = 211101101101873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211101101202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10615740 + ... + 23127821.

It is an arithmetic number, because the mean of its divisors is an integer number (9695672643708).

Almost surely, 2^{211101101102001} is an apocalyptic number.

It is an amenable number.

211101101102001 is a deficient number, since it is larger than the sum of its proper divisors (99160423496655).

211101101102001 is a wasteful number, since it uses less digits than its factorization.

211101101102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33745553.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211101101102001 its reverse (100201101101112), we get a palindrome (311302202203113).

The spelling of 211101101102001 in words is "two hundred eleven trillion, one hundred one billion, one hundred one million, one hundred two thousand, one".