101111210112211 has 16 divisors (see below), whose sum is σ = 111215105164800. Its totient is φ = 91339949387808.

The previous prime is 101111210112149. The next prime is 101111210112217. The reversal of 101111210112211 is 112211012111101.

It is not a de Polignac number, because 101111210112211 - 2⁷ = 101111210112083 is a prime.

It is a super-2 number, since 2×101111210112211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101111210112217) 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, 364300 + ... + 14225158.

It is an arithmetic number, because the mean of its divisors is an integer number (6950944072800).

Almost surely, 2^{101111210112211} is an apocalyptic number.

101111210112211 is a deficient number, since it is larger than the sum of its proper divisors (10103895052589).

101111210112211 is a wasteful number, since it uses less digits than its factorization.

101111210112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13872858.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101111210112211 its reverse (112211012111101), we get a palindrome (213322222223312).

The spelling of 101111210112211 in words is "one hundred one trillion, one hundred eleven billion, two hundred ten million, one hundred twelve thousand, two hundred eleven".