211222220001101 has 16 divisors (see below), whose sum is σ = 223679740140864. Its totient is φ = 198768333951744.

The previous prime is 211222220001031. The next prime is 211222220001131. The reversal of 211222220001101 is 101100022222112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211222220001101 is a prime.

It is a super-2 number, since 2×211222220001101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 211222220001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222220001131) 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, 4415433155 + ... + 4415480991.

It is an arithmetic number, because the mean of its divisors is an integer number (13979983758804).

Almost surely, 2^{211222220001101} is an apocalyptic number.

It is an amenable number.

211222220001101 is a deficient number, since it is larger than the sum of its proper divisors (12457520139763).

211222220001101 is a wasteful number, since it uses less digits than its factorization.

211222220001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80380.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211222220001101 its reverse (101100022222112), we get a palindrome (312322242223213).

The spelling of 211222220001101 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty million, one thousand, one hundred one".