1121011200001 has 64 divisors (see below), whose sum is σ = 1458330863616. Its totient is φ = 836402112000.

The previous prime is 1121011199999. The next prime is 1121011200013. The reversal of 1121011200001 is 1000021101211.

It is not a de Polignac number, because 1121011200001 - 2¹ = 1121011199999 is a prime.

It is a super-2 number, since 2×1121011200001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121011200031) 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 63 ways as a sum of consecutive naturals, for example, 316043110 + ... + 316046656.

It is an arithmetic number, because the mean of its divisors is an integer number (22786419744).

Almost surely, 2^{1121011200001} is an apocalyptic number.

1121011200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121011200001 is a deficient number, since it is larger than the sum of its proper divisors (337319663615).

1121011200001 is a wasteful number, since it uses less digits than its factorization.

1121011200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1121011200001 its reverse (1000021101211), we get a palindrome (2121032301212).

It can be divided in two parts, 11210 and 11200001, that added together give a palindrome (11211211).

The spelling of 1121011200001 in words is "one trillion, one hundred twenty-one billion, eleven million, two hundred thousand, one".