1121022120105 has 24 divisors (see below), whose sum is σ = 1974959193480. Its totient is φ = 588077176320.

The previous prime is 1121022120079. The next prime is 1121022120131. The reversal of 1121022120105 is 5010212201211.

It is an interprime number because it is at equal distance from previous prime (1121022120079) and next prime (1121022120131).

It can be written as a sum of positive squares in 4 ways, for example, as 5201727129 + 1115820392976 = 72123^2 + 1056324^2 .

It is not a de Polignac number, because 1121022120105 - 2⁶ = 1121022120041 is a prime.

It is a super-3 number, since 3×1121022120105³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204190720 + ... + 204196209.

It is an arithmetic number, because the mean of its divisors is an integer number (82289966395).

Almost surely, 2^{1121022120105} is an apocalyptic number.

1121022120105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1121022120105 is a deficient number, since it is larger than the sum of its proper divisors (853937073375).

1121022120105 is a wasteful number, since it uses less digits than its factorization.

1121022120105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408387001 (or 408386998 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 1121022120105 its reverse (5010212201211), we get a palindrome (6131234321316).

The spelling of 1121022120105 in words is "one trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty thousand, one hundred five".