100220022020201 has 8 divisors (see below), whose sum is σ = 106118746705800. Its totient is φ = 94321678364928.

The previous prime is 100220022020137. The next prime is 100220022020263. The reversal of 100220022020201 is 102020220022001.

It can be written as a sum of positive squares in 4 ways, for example, as 52118306928601 + 48101715091600 = 7219301^2 + 6935540^2 .

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 100220022020201 - 2⁶ = 100220022020137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100220022020101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94715966 + ... + 95768231.

It is an arithmetic number, because the mean of its divisors is an integer number (13264843338225).

Almost surely, 2^{100220022020201} is an apocalyptic number.

It is an amenable number.

100220022020201 is a deficient number, since it is larger than the sum of its proper divisors (5898724685599).

100220022020201 is a wasteful number, since it uses less digits than its factorization.

100220022020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190515163.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100220022020201 its reverse (102020220022001), we get a palindrome (202240242042202).

The spelling of 100220022020201 in words is "one hundred trillion, two hundred twenty billion, twenty-two million, twenty thousand, two hundred one".