1121100212001 has 64 divisors (see below), whose sum is σ = 1890650419200. Its totient is φ = 573957753600.

The previous prime is 1121100211997. The next prime is 1121100212003. The reversal of 1121100212001 is 1002120011211.

It is not a de Polignac number, because 1121100212001 - 2² = 1121100211997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121100212003) 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 63 ways as a sum of consecutive naturals, for example, 45730135 + ... + 45754643.

It is an arithmetic number, because the mean of its divisors is an integer number (29541412800).

Almost surely, 2^{1121100212001} is an apocalyptic number.

1121100212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121100212001 is a deficient number, since it is larger than the sum of its proper divisors (769550207199).

1121100212001 is a wasteful number, since it uses less digits than its factorization.

1121100212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27390.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1121100212001 its reverse (1002120011211), we get a palindrome (2123220223212).

The spelling of 1121100212001 in words is "one trillion, one hundred twenty-one billion, one hundred million, two hundred twelve thousand, one".