1021022112101 has 2 divisors, whose sum is σ = 1021022112102. Its totient is φ = 1021022112100.

The previous prime is 1021022112091. The next prime is 1021022112161. The reversal of 1021022112101 is 1012112201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 857503780225 + 163518331876 = 926015^2 + 404374^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021022112101 - 2³⁰ = 1019948370277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021022112161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510511056050 + 510511056051.

It is an arithmetic number, because the mean of its divisors is an integer number (510511056051).

Almost surely, 2^{1021022112101} is an apocalyptic number.

It is an amenable number.

1021022112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021022112101 is an equidigital number, since it uses as much as digits as its factorization.

1021022112101 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 1021022112101 its reverse (1012112201201), we get a palindrome (2033134313302).

The spelling of 1021022112101 in words is "one trillion, twenty-one billion, twenty-two million, one hundred twelve thousand, one hundred one".