1121111101201 has 16 divisors (see below), whose sum is σ = 1392724658304. Its totient is φ = 878742923904.

The previous prime is 1121111101193. The next prime is 1121111101217. The reversal of 1121111101201 is 1021011111211.

It is a cyclic number.

It is not a de Polignac number, because 1121111101201 - 2³ = 1121111101193 is a prime.

It is a super-2 number, since 2×1121111101201² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1121111101801) 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, 57559900 + ... + 57579373.

It is an arithmetic number, because the mean of its divisors is an integer number (87045291144).

Almost surely, 2^{1121111101201} is an apocalyptic number.

It is an amenable number.

1121111101201 is a deficient number, since it is larger than the sum of its proper divisors (271613557103).

1121111101201 is a wasteful number, since it uses less digits than its factorization.

1121111101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115139400.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1121111101201 its reverse (1021011111211), we get a palindrome (2142122212412).

The spelling of 1121111101201 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred one thousand, two hundred one".