100222011220021 has 8 divisors (see below), whose sum is σ = 100612729876824. Its totient is φ = 99831298375680.

The previous prime is 100222011219983. The next prime is 100222011220027. The reversal of 100222011220021 is 120022110222001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 938941620100 + 99283069599921 = 968990^2 + 9964089^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100222011220021 - 2¹¹ = 100222011217973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100222011219977 and 100222011220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222011220027) 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 7 ways as a sum of consecutive naturals, for example, 34865071 + ... + 37630003.

It is an arithmetic number, because the mean of its divisors is an integer number (12576591234603).

Almost surely, 2^{100222011220021} is an apocalyptic number.

It is an amenable number.

100222011220021 is a deficient number, since it is larger than the sum of its proper divisors (390718656803).

100222011220021 is a wasteful number, since it uses less digits than its factorization.

100222011220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906231.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222011220021 its reverse (120022110222001), we get a palindrome (220244121442022).

The spelling of 100222011220021 in words is "one hundred trillion, two hundred twenty-two billion, eleven million, two hundred twenty thousand, twenty-one".