211221100100001 has 16 divisors (see below), whose sum is σ = 288539002459008. Its totient is φ = 137399524953600.

The previous prime is 211221100099987. The next prime is 211221100100027. The reversal of 211221100100001 is 100001001122112.

211221100100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211221100100001 - 2¹⁰ = 211221100098977 is a prime.

It is a super-2 number, since 2×211221100100001² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211221100100001.

It is not an unprimeable number, because it can be changed into a prime (211221100100041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5111568810 + ... + 5111610131.

It is an arithmetic number, because the mean of its divisors is an integer number (18033687653688).

Almost surely, 2^{211221100100001} is an apocalyptic number.

It is an amenable number.

211221100100001 is a deficient number, since it is larger than the sum of its proper divisors (77317902359007).

211221100100001 is a wasteful number, since it uses less digits than its factorization.

211221100100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10223179112.

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

Adding to 211221100100001 its reverse (100001001122112), we get a palindrome (311222101222113).

The spelling of 211221100100001 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred million, one hundred thousand, one".