1020112122101 has 2 divisors, whose sum is σ = 1020112122102. Its totient is φ = 1020112122100.

The previous prime is 1020112122061. The next prime is 1020112122109. The reversal of 1020112122101 is 1012212110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 552570709201 + 467541412900 = 743351^2 + 683770^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020112122101 - 2¹⁴ = 1020112105717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020112122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510056061050 + 510056061051.

It is an arithmetic number, because the mean of its divisors is an integer number (510056061051).

Almost surely, 2^{1020112122101} is an apocalyptic number.

It is an amenable number.

1020112122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020112122101 is an equidigital number, since it uses as much as digits as its factorization.

1020112122101 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 14.

Adding to 1020112122101 its reverse (1012212110201), we get a palindrome (2032324232302).

The spelling of 1020112122101 in words is "one trillion, twenty billion, one hundred twelve million, one hundred twenty-two thousand, one hundred one".