1020121021061 has 2 divisors, whose sum is σ = 1020121021062. Its totient is φ = 1020121021060.

The previous prime is 1020121021037. The next prime is 1020121021097. The reversal of 1020121021061 is 1601201210201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 676292416900 + 343828604161 = 822370^2 + 586369^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020121021061 - 2³⁸ = 745243114117 is a prime.

It is a super-2 number, since 2×1020121021061² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020121021961) 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, 510060510530 + 510060510531.

It is an arithmetic number, because the mean of its divisors is an integer number (510060510531).

Almost surely, 2^{1020121021061} is an apocalyptic number.

It is an amenable number.

1020121021061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020121021061 is an equidigital number, since it uses as much as digits as its factorization.

1020121021061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1020121021061 its reverse (1601201210201), we get a palindrome (2621322231262).

The spelling of 1020121021061 in words is "one trillion, twenty billion, one hundred twenty-one million, twenty-one thousand, sixty-one".