211101120110101 has 8 divisors (see below), whose sum is σ = 240712589447064. Its totient is φ = 183400068149760.

The previous prime is 211101120110059. The next prime is 211101120110191. The reversal of 211101120110101 is 101011021101112.

It can be written as a sum of positive squares in 4 ways, for example, as 91634689905201 + 119466430204900 = 9572601^2 + 10930070^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211101120110101 - 2²¹ = 211101118012949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211101120110191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477604343920 + ... + 477604344361.

It is an arithmetic number, because the mean of its divisors is an integer number (30089073680883).

Almost surely, 2^{211101120110101} is an apocalyptic number.

It is an amenable number.

211101120110101 is a deficient number, since it is larger than the sum of its proper divisors (29611469336963).

211101120110101 is a wasteful number, since it uses less digits than its factorization.

211101120110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955208688311.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 211101120110101 its reverse (101011021101112), we get a palindrome (312112141211213).

The spelling of 211101120110101 in words is "two hundred eleven trillion, one hundred one billion, one hundred twenty million, one hundred ten thousand, one hundred one".