212131101 has 32 divisors (see below), whose sum is σ = 357538048. Its totient is φ = 108864000.

The previous prime is 212131091. The next prime is 212131123. The reversal of 212131101 is 101131212.

It is not a de Polignac number, because 212131101 - 2⁷ = 212130973 is a prime.

It is a super-2 number, since 2×212131101² = 89999208022944402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212131501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400 + ... + 20601.

It is an arithmetic number, because the mean of its divisors is an integer number (11173064).

Almost surely, 2^212131101 is an apocalyptic number.

212131101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212131101 is a deficient number, since it is larger than the sum of its proper divisors (145406947).

212131101 is a wasteful number, since it uses less digits than its factorization.

212131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21061.

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

The square root of 212131101 is about 14564.7211095853. The cubic root of 212131101 is about 596.3960824157.

Adding to 212131101 its reverse (101131212), we get a palindrome (313262313).

The spelling of 212131101 in words is "two hundred twelve million, one hundred thirty-one thousand, one hundred one".