102011122021 has 2 divisors, whose sum is σ = 102011122022. Its totient is φ = 102011122020.

The previous prime is 102011122019. The next prime is 102011122033. The reversal of 102011122021 is 120221110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94805489025 + 7205632996 = 307905^2 + 84886^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011122021 - 2¹ = 102011122019 is a prime.

It is a super-2 number, since 2×102011122021² (a number of 23 digits) contains 22 as substring.

Together with 102011122019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 102011121992 and 102011122010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102011122051) 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, 51005561010 + 51005561011.

It is an arithmetic number, because the mean of its divisors is an integer number (51005561011).

Almost surely, 2^102011122021 is an apocalyptic number.

It is an amenable number.

102011122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011122021 is an equidigital number, since it uses as much as digits as its factorization.

102011122021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102011122021 its reverse (120221110201), we get a palindrome (222232232222).

The spelling of 102011122021 in words is "one hundred two billion, eleven million, one hundred twenty-two thousand, twenty-one".