211101000101112 has 96 divisors (see below), whose sum is σ = 582297264743040. Its totient is φ = 63726767860800.

The previous prime is 211101000101093. The next prime is 211101000101141.

211101000101112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137436214 + ... + 138963717.

It is an arithmetic number, because the mean of its divisors is an integer number (6065596507740).

Almost surely, 2^{211101000101112} is an apocalyptic number.

211101000101112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211101000101112 is an abundant number, since it is smaller than the sum of its proper divisors (371196264641928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211101000101112 is a wasteful number, since it uses less digits than its factorization.

211101000101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276400225 (or 276400210 counting only the distinct ones).

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

It can be divided in two parts, 211101000 and 101112, that added together give a palindrome (211202112).

The spelling of 211101000101112 in words is "two hundred eleven trillion, one hundred one billion, one hundred one thousand, one hundred twelve".