211122100012001 has 16 divisors (see below), whose sum is σ = 213429060499200. Its totient is φ = 208819409184000.

The previous prime is 211122100011943. The next prime is 211122100012051. The reversal of 211122100012001 is 100210001221112.

It is a cyclic number.

It is not a de Polignac number, because 211122100012001 - 2¹⁰ = 211122100010977 is a prime.

It is a super-2 number, since 2×211122100012001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211122100012051) 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, 2520487961 + ... + 2520571721.

It is an arithmetic number, because the mean of its divisors is an integer number (13339316281200).

Almost surely, 2^{211122100012001} is an apocalyptic number.

It is an amenable number.

211122100012001 is a deficient number, since it is larger than the sum of its proper divisors (2306960487199).

211122100012001 is a wasteful number, since it uses less digits than its factorization.

211122100012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108920.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211122100012001 its reverse (100210001221112), we get a palindrome (311332101233113).

The spelling of 211122100012001 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, twelve thousand, one".