1122102101101 has 16 divisors (see below), whose sum is σ = 1174168145920. Its totient is φ = 1071117250560.

The previous prime is 1122102101069. The next prime is 1122102101111. The reversal of 1122102101101 is 1011012012211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1122102101101 - 2⁵ = 1122102101069 is a prime.

It is a super-2 number, since 2×1122102101101² (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 (1122102101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8941 + ... + 1498093.

It is an arithmetic number, because the mean of its divisors is an integer number (73385509120).

Almost surely, 2^{1122102101101} is an apocalyptic number.

It is an amenable number.

1122102101101 is a deficient number, since it is larger than the sum of its proper divisors (52066044819).

1122102101101 is a wasteful number, since it uses less digits than its factorization.

1122102101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489516.

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

Adding to 1122102101101 its reverse (1011012012211), we get a palindrome (2133114113312).

The spelling of 1122102101101 in words is "one trillion, one hundred twenty-two billion, one hundred two million, one hundred one thousand, one hundred one".