1121201101101 has 24 divisors (see below), whose sum is σ = 1511043584832. Its totient is φ = 739497760000.

The previous prime is 1121201101067. The next prime is 1121201101117. The reversal of 1121201101101 is 1011011021211.

It is not a de Polignac number, because 1121201101101 - 2⁶ = 1121201101037 is a prime.

It is a super-2 number, since 2×1121201101101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121201101171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41820901 + ... + 41847701.

It is an arithmetic number, because the mean of its divisors is an integer number (62960149368).

Almost surely, 2^{1121201101101} is an apocalyptic number.

It is an amenable number.

1121201101101 is a deficient number, since it is larger than the sum of its proper divisors (389842483731).

1121201101101 is a wasteful number, since it uses less digits than its factorization.

1121201101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28373 (or 28272 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1121201101101 its reverse (1011011021211), we get a palindrome (2132212122312).

It can be divided in two parts, 112120110 and 1101, that added together give a palindrome (112121211).

The spelling of 1121201101101 in words is "one trillion, one hundred twenty-one billion, two hundred one million, one hundred one thousand, one hundred one".