100211131 has 2 divisors, whose sum is σ = 100211132. Its totient is φ = 100211130.

The previous prime is 100211117. The next prime is 100211143. The reversal of 100211131 is 131112001.

It is a strong prime.

It is an emirp because it is prime and its reverse (131112001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100211131 - 2⁵ = 100211099 is a prime.

It is a super-2 number, since 2×100211131² = 20084541552598322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100211101) 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 as a sum of consecutive naturals, namely, 50105565 + 50105566.

It is an arithmetic number, because the mean of its divisors is an integer number (50105566).

Almost surely, 2^100211131 is an apocalyptic number.

100211131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211131 is an equidigital number, since it uses as much as digits as its factorization.

100211131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 100211131 is about 10010.5509838370. The cubic root of 100211131 is about 464.4853148336.

Adding to 100211131 its reverse (131112001), we get a palindrome (231323132).

The spelling of 100211131 in words is "one hundred million, two hundred eleven thousand, one hundred thirty-one".