101111001100211 has 16 divisors (see below), whose sum is σ = 104445753169920. Its totient is φ = 97780832648640.

The previous prime is 101111001100199. The next prime is 101111001100223. The reversal of 101111001100211 is 112001100111101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101111001100199) and next prime (101111001100223).

It is a cyclic number.

It is not a de Polignac number, because 101111001100211 - 2⁶ = 101111001100147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111001100192 and 101111001100201.

It is not an unprimeable number, because it can be changed into a prime (101111001100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437960570 + ... + 438191376.

It is an arithmetic number, because the mean of its divisors is an integer number (6527859573120).

Almost surely, 2^{101111001100211} is an apocalyptic number.

101111001100211 is a deficient number, since it is larger than the sum of its proper divisors (3334752069709).

101111001100211 is a wasteful number, since it uses less digits than its factorization.

101111001100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240674.

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

Adding to 101111001100211 its reverse (112001100111101), we get a palindrome (213112101211312).

The spelling of 101111001100211 in words is "one hundred one trillion, one hundred eleven billion, one million, one hundred thousand, two hundred eleven".