101020111102021 has 2 divisors, whose sum is σ = 101020111102022. Its totient is φ = 101020111102020.

The previous prime is 101020111102019. The next prime is 101020111102037. The reversal of 101020111102021 is 120201111020101.

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., 75641548756225 + 25378562345796 = 8697215^2 + 5037714^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020111102021 - 2¹ = 101020111102019 is a prime.

It is a super-3 number, since 3×101020111102021³ (a number of 43 digits) contains 333 as substring.

Together with 101020111102019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101020111101992 and 101020111102010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020111102051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510055551010 + 50510055551011.

It is an arithmetic number, because the mean of its divisors is an integer number (50510055551011).

Almost surely, 2^{101020111102021} is an apocalyptic number.

It is an amenable number.

101020111102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020111102021 is an equidigital number, since it uses as much as digits as its factorization.

101020111102021 is an evil number, because the sum of its binary digits is even.

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

Adding to 101020111102021 its reverse (120201111020101), we get a palindrome (221221222122122).

The spelling of 101020111102021 in words is "one hundred one trillion, twenty billion, one hundred eleven million, one hundred two thousand, twenty-one".