211000001110101 has 96 divisors (see below), whose sum is σ = 361659216971520. Its totient is φ = 116050156185600.

The previous prime is 211000001110039. The next prime is 211000001110123. The reversal of 211000001110101 is 101011100000112.

211000001110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211000001110101 - 2⁹ = 211000001109589 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000001110141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75827661 + ... + 78561021.

It is an arithmetic number, because the mean of its divisors is an integer number (3767283510120).

Almost surely, 2^{211000001110101} is an apocalyptic number.

211000001110101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211000001110101 is a deficient number, since it is larger than the sum of its proper divisors (150659215861419).

211000001110101 is a wasteful number, since it uses less digits than its factorization.

211000001110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733867 (or 2733864 counting only the distinct ones).

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

Adding to 211000001110101 its reverse (101011100000112), we get a palindrome (312011101110213).

The spelling of 211000001110101 in words is "two hundred eleven trillion, one million, one hundred ten thousand, one hundred one".