211101020101112 has 32 divisors (see below), whose sum is σ = 413517276532800. Its totient is φ = 100901819088000.

The previous prime is 211101020101067. The next prime is 211101020101121.

211101020101112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4504522064 + ... + 4504568927.

It is an arithmetic number, because the mean of its divisors is an integer number (12922414891650).

Almost surely, 2^{211101020101112} is an apocalyptic number.

It is an amenable number.

211101020101112 is a deficient number, since it is larger than the sum of its proper divisors (202416256431688).

211101020101112 is a wasteful number, since it uses less digits than its factorization.

211101020101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009091127 (or 9009091123 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 211101020101112 in words is "two hundred eleven trillion, one hundred one billion, twenty million, one hundred one thousand, one hundred twelve".