211101122211012 has 144 divisors (see below), whose sum is σ = 616377352997952. Its totient is φ = 60206387312640.

The previous prime is 211101122210989. The next prime is 211101122211019. The reversal of 211101122211012 is 210112221101112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211101122211019) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 903001123 + ... + 903234869.

It is an arithmetic number, because the mean of its divisors is an integer number (4280398284708).

Almost surely, 2^{211101122211012} is an apocalyptic number.

211101122211012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211101122211012 is an abundant number, since it is smaller than the sum of its proper divisors (405276230786940).

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

211101122211012 is a wasteful number, since it uses less digits than its factorization.

211101122211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367938 (or 367933 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211101122211012 its reverse (210112221101112), we get a palindrome (421213343312124).

The spelling of 211101122211012 in words is "two hundred eleven trillion, one hundred one billion, one hundred twenty-two million, two hundred eleven thousand, twelve".