1122101102101 has 8 divisors (see below), whose sum is σ = 1298634187520. Its totient is φ = 949626248688.

The previous prime is 1122101102099. The next prime is 1122101102107. The reversal of 1122101102101 is 1012011012211.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1122101102101 - 2¹ = 1122101102099 is a prime.

It is a super-2 number, since 2×1122101102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122101102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014557406 + ... + 1014558511.

It is an arithmetic number, because the mean of its divisors is an integer number (162329273440).

Almost surely, 2^{1122101102101} is an apocalyptic number.

It is an amenable number.

1122101102101 is a deficient number, since it is larger than the sum of its proper divisors (176533085419).

1122101102101 is an equidigital number, since it uses as much as digits as its factorization.

1122101102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029116003.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1122101102101 its reverse (1012011012211), we get a palindrome (2134112114312).

It can be divided in two parts, 112210110 and 2101, that added together give a palindrome (112212211).

The spelling of 1122101102101 in words is "one trillion, one hundred twenty-two billion, one hundred one million, one hundred two thousand, one hundred one".