100111131821 has 2 divisors, whose sum is σ = 100111131822. Its totient is φ = 100111131820.

The previous prime is 100111131817. The next prime is 100111131833. The reversal of 100111131821 is 128131111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98567742025 + 1543389796 = 313955^2 + 39286^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111131821 - 2² = 100111131817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111131793 and 100111131802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111134821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055565910 + 50055565911.

It is an arithmetic number, because the mean of its divisors is an integer number (50055565911).

Almost surely, 2^100111131821 is an apocalyptic number.

It is an amenable number.

100111131821 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111131821 is an equidigital number, since it uses as much as digits as its factorization.

100111131821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 100111131821 its reverse (128131111001), we get a palindrome (228242242822).

The spelling of 100111131821 in words is "one hundred billion, one hundred eleven million, one hundred thirty-one thousand, eight hundred twenty-one".