1122120102101 has 2 divisors, whose sum is σ = 1122120102102. Its totient is φ = 1122120102100.

The previous prime is 1122120102017. The next prime is 1122120102113. The reversal of 1122120102101 is 1012010212211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 992952460900 + 129167641201 = 996470^2 + 359399^2 .

It is a cyclic number.

It is not a de Polignac number, because 1122120102101 - 2¹⁰ = 1122120101077 is a prime.

It is a super-2 number, since 2×1122120102101² (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 (1122120102601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561060051050 + 561060051051.

It is an arithmetic number, because the mean of its divisors is an integer number (561060051051).

Almost surely, 2^{1122120102101} is an apocalyptic number.

It is an amenable number.

1122120102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122120102101 is an equidigital number, since it uses as much as digits as its factorization.

1122120102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1122120102101 its reverse (1012010212211), we get a palindrome (2134130314312).

It can be divided in two parts, 1122120 and 102101, that added together give a palindrome (1224221).

The spelling of 1122120102101 in words is "one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred two thousand, one hundred one".