100220222022001 has 16 divisors (see below), whose sum is σ = 100745625370320. Its totient is φ = 99695891906560.

The previous prime is 100220222021999. The next prime is 100220222022007.

100220222022001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 48508647984225 + 51711574037776 = 6964815^2 + 7191076^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220222022001 - 2¹ = 100220222021999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100220222022007) 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, 3916522515 + ... + 3916548103.

It is an arithmetic number, because the mean of its divisors is an integer number (6296601585645).

Almost surely, 2^{100220222022001} is an apocalyptic number.

It is an amenable number.

100220222022001 is a deficient number, since it is larger than the sum of its proper divisors (525403348319).

100220222022001 is a wasteful number, since it uses less digits than its factorization.

100220222022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45764.

The product of its (nonzero) digits is 128, while the sum is 16.

The spelling of 100220222022001 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty-two million, twenty-two thousand, one".