100111211020021 has 2 divisors, whose sum is σ = 100111211020022. Its totient is φ = 100111211020020.

The previous prime is 100111211019997. The next prime is 100111211020057. The reversal of 100111211020021 is 120020112111001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99072381227121 + 1038829792900 = 9953511^2 + 1019230^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111211020021 - 2²³ = 100111202631413 is a prime.

It is a super-2 number, since 2×100111211020021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100111211019983 and 100111211020010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111211020081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055605510010 + 50055605510011.

It is an arithmetic number, because the mean of its divisors is an integer number (50055605510011).

Almost surely, 2^{100111211020021} is an apocalyptic number.

It is an amenable number.

100111211020021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111211020021 is an equidigital number, since it uses as much as digits as its factorization.

100111211020021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111211020021 its reverse (120020112111001), we get a palindrome (220131323131022).

The spelling of 100111211020021 in words is "one hundred trillion, one hundred eleven billion, two hundred eleven million, twenty thousand, twenty-one".