1211100122001 has 32 divisors (see below), whose sum is σ = 2078201143296. Its totient is φ = 608847984000.

The previous prime is 1211100121997. The next prime is 1211100122039. The reversal of 1211100122001 is 1002210011121.

It is not a de Polignac number, because 1211100122001 - 2² = 1211100121997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1211100122051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84555060 + ... + 84569381.

It is an arithmetic number, because the mean of its divisors is an integer number (64943785728).

Almost surely, 2^{1211100122001} is an apocalyptic number.

1211100122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211100122001 is a deficient number, since it is larger than the sum of its proper divisors (867101021295).

1211100122001 is a wasteful number, since it uses less digits than its factorization.

1211100122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169124493.

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

Adding to 1211100122001 its reverse (1002210011121), we get a palindrome (2213310133122).

The spelling of 1211100122001 in words is "one trillion, two hundred eleven billion, one hundred million, one hundred twenty-two thousand, one".