214222013201101 has 16 divisors (see below), whose sum is σ = 215339216727600. Its totient is φ = 213107637270528.

The previous prime is 214222013201089. The next prime is 214222013201117. The reversal of 214222013201101 is 101102310222412.

It can be written as a sum of positive squares in 8 ways, for example, as 178319327347876 + 35902685853225 = 13353626^2 + 5991885^2 .

It is a cyclic number.

It is not a de Polignac number, because 214222013201101 - 2⁷ = 214222013200973 is a prime.

It is a super-2 number, since 2×214222013201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214222013201191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628435615 + ... + 628776403.

It is an arithmetic number, because the mean of its divisors is an integer number (13458701045475).

Almost surely, 2^{214222013201101} is an apocalyptic number.

It is an amenable number.

214222013201101 is a deficient number, since it is larger than the sum of its proper divisors (1117203526499).

214222013201101 is a wasteful number, since it uses less digits than its factorization.

214222013201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344928.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 214222013201101 its reverse (101102310222412), we get a palindrome (315324323423513).

The spelling of 214222013201101 in words is "two hundred fourteen trillion, two hundred twenty-two billion, thirteen million, two hundred one thousand, one hundred one".