101020111122101 has 2 divisors, whose sum is σ = 101020111122102. Its totient is φ = 101020111122100.

The previous prime is 101020111122059. The next prime is 101020111122103. The reversal of 101020111122101 is 101221111020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65630640423076 + 35389470699025 = 8101274^2 + 5948905^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020111122101 - 2¹⁰ = 101020111121077 is a prime.

It is a super-2 number, since 2×101020111122101² (a number of 29 digits) contains 22 as substring.

Together with 101020111122103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020111122103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510055561050 + 50510055561051.

It is an arithmetic number, because the mean of its divisors is an integer number (50510055561051).

Almost surely, 2^{101020111122101} is an apocalyptic number.

It is an amenable number.

101020111122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020111122101 is an equidigital number, since it uses as much as digits as its factorization.

101020111122101 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 14.

Adding to 101020111122101 its reverse (101221111020101), we get a palindrome (202241222142202).

The spelling of 101020111122101 in words is "one hundred one trillion, twenty billion, one hundred eleven million, one hundred twenty-two thousand, one hundred one".