212211100101 has 128 divisors (see below), whose sum is σ = 384754470912. Its totient is φ = 100465920000.

The previous prime is 212211100051. The next prime is 212211100141. The reversal of 212211100101 is 101001112212.

It is not a de Polignac number, because 212211100101 - 2¹⁴ = 212211083717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211100141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138608706 + ... + 138610236.

It is an arithmetic number, because the mean of its divisors is an integer number (3005894304).

Almost surely, 2^212211100101 is an apocalyptic number.

212211100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212211100101 is a deficient number, since it is larger than the sum of its proper divisors (172543370811).

212211100101 is a wasteful number, since it uses less digits than its factorization.

212211100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212211100101 its reverse (101001112212), we get a palindrome (313212212313).

The spelling of 212211100101 in words is "two hundred twelve billion, two hundred eleven million, one hundred thousand, one hundred one".