100020222022201 has 8 divisors (see below), whose sum is σ = 107719663964360. Its totient is φ = 92321577038592.

The previous prime is 100020222022141. The next prime is 100020222022219. The reversal of 100020222022201 is 102220222020001.

It can be written as a sum of positive squares in 4 ways, for example, as 1106754496576 + 98913467525625 = 1052024^2 + 9945525^2 .

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 100020222022201 - 2³⁹ = 99470466208313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100020222022271) 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, 198978960 + ... + 199480993.

It is an arithmetic number, because the mean of its divisors is an integer number (13464957995545).

Almost surely, 2^{100020222022201} is an apocalyptic number.

It is an amenable number.

100020222022201 is a deficient number, since it is larger than the sum of its proper divisors (7699441942159).

100020222022201 is a wasteful number, since it uses less digits than its factorization.

100020222022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398479275.

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

Adding to 100020222022201 its reverse (102220222020001), we get a palindrome (202240444042202).

The spelling of 100020222022201 in words is "one hundred trillion, twenty billion, two hundred twenty-two million, twenty-two thousand, two hundred one".