100020221021201 has 16 divisors (see below), whose sum is σ = 108484292758800. Its totient is φ = 91666719601920.

The previous prime is 100020221021191. The next prime is 100020221021207. The reversal of 100020221021201 is 102120122020001.

It can be written as a sum of positive squares in 8 ways, for example, as 4224673270801 + 95795547750400 = 2055401^2 + 9787520^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020221021201 - 2²⁶ = 100020153912337 is a prime.

It is a super-2 number, since 2×100020221021201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100020221021207) 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, 6818090 + ... + 15701171.

It is an arithmetic number, because the mean of its divisors is an integer number (6780268297425).

Almost surely, 2^{100020221021201} is an apocalyptic number.

It is an amenable number.

100020221021201 is a deficient number, since it is larger than the sum of its proper divisors (8464071737599).

100020221021201 is a wasteful number, since it uses less digits than its factorization.

100020221021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22521716.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100020221021201 its reverse (102120122020001), we get a palindrome (202140343041202).

The spelling of 100020221021201 in words is "one hundred trillion, twenty billion, two hundred twenty-one million, twenty-one thousand, two hundred one".