101112011211 has 16 divisors (see below), whose sum is σ = 139173444608. Its totient is φ = 65229559200.

The previous prime is 101112011207. The next prime is 101112011213. The reversal of 101112011211 is 112110211101.

It is not a de Polignac number, because 101112011211 - 2² = 101112011207 is a prime.

It is a super-2 number, since 2×101112011211² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112011213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2642760 + ... + 2680746.

It is an arithmetic number, because the mean of its divisors is an integer number (8698340288).

Almost surely, 2^101112011211 is an apocalyptic number.

101112011211 is a deficient number, since it is larger than the sum of its proper divisors (38061433397).

101112011211 is a wasteful number, since it uses less digits than its factorization.

101112011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66642.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101112011211 its reverse (112110211101), we get a palindrome (213222222312).

The spelling of 101112011211 in words is "one hundred one billion, one hundred twelve million, eleven thousand, two hundred eleven".