11211011120001 has 256 divisors, whose sum is σ = 21080250777600. Its totient is φ = 5119599513600.

The previous prime is 11211011119963. The next prime is 11211011120009. The reversal of 11211011120001 is 10002111011211.

It is not a de Polignac number, because 11211011120001 - 2⁶ = 11211011119937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11211011120009) 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 255 ways as a sum of consecutive naturals, for example, 765824440 + ... + 765839078.

It is an arithmetic number, because the mean of its divisors is an integer number (82344729600).

Almost surely, 2^{11211011120001} is an apocalyptic number.

11211011120001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211011120001 is a deficient number, since it is larger than the sum of its proper divisors (9869239657599).

11211011120001 is a wasteful number, since it uses less digits than its factorization.

11211011120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14900.

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

Adding to 11211011120001 its reverse (10002111011211), we get a palindrome (21213122131212).

The spelling of 11211011120001 in words is "eleven trillion, two hundred eleven billion, eleven million, one hundred twenty thousand, one".