101011101100211 has 24 divisors (see below), whose sum is σ = 111864949232400. Its totient is φ = 90887258981376.

The previous prime is 101011101100199. The next prime is 101011101100219. The reversal of 101011101100211 is 112001101110101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101011101100211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011101100192 and 101011101100201.

It is not an unprimeable number, because it can be changed into a prime (101011101100219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13845440 + ... + 19842338.

It is an arithmetic number, because the mean of its divisors is an integer number (4661039551350).

Almost surely, 2^{101011101100211} is an apocalyptic number.

101011101100211 is a deficient number, since it is larger than the sum of its proper divisors (10853848132189).

101011101100211 is a wasteful number, since it uses less digits than its factorization.

101011101100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5998835 (or 5998812 counting only the distinct ones).

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

Adding to 101011101100211 its reverse (112001101110101), we get a palindrome (213012202210312).

The spelling of 101011101100211 in words is "one hundred one trillion, eleven billion, one hundred one million, one hundred thousand, two hundred eleven".