1021112022101 has 2 divisors, whose sum is σ = 1021112022102. Its totient is φ = 1021112022100.

The previous prime is 1021112022083. The next prime is 1021112022109. The reversal of 1021112022101 is 1012202111201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 555619669201 + 465492352900 = 745399^2 + 682270^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021112022101 - 2¹⁰ = 1021112021077 is a prime.

It is a super-2 number, since 2×1021112022101² (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 (1021112022109) 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, 510556011050 + 510556011051.

It is an arithmetic number, because the mean of its divisors is an integer number (510556011051).

Almost surely, 2^{1021112022101} is an apocalyptic number.

It is an amenable number.

1021112022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021112022101 is an equidigital number, since it uses as much as digits as its factorization.

1021112022101 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 1021112022101 its reverse (1012202111201), we get a palindrome (2033314133302).

It can be divided in two parts, 102111 and 2022101, that added together give a palindrome (2124212).

The spelling of 1021112022101 in words is "one trillion, twenty-one billion, one hundred twelve million, twenty-two thousand, one hundred one".