100101202221001 has 8 divisors (see below), whose sum is σ = 100739056013064. Its totient is φ = 99463351802880.

The previous prime is 100101202220959. The next prime is 100101202221049. The reversal of 100101202221001 is 100122202101001.

It can be written as a sum of positive squares in 4 ways, for example, as 1941675033600 + 98159527187401 = 1393440^2 + 9907549^2 .

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 100101202221001 - 2²¹ = 100101200123849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101202221061) 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, 89221551 + ... + 90336523.

It is an arithmetic number, because the mean of its divisors is an integer number (12592382001633).

Almost surely, 2^{100101202221001} is an apocalyptic number.

It is an amenable number.

100101202221001 is a deficient number, since it is larger than the sum of its proper divisors (637853792063).

100101202221001 is a wasteful number, since it uses less digits than its factorization.

100101202221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686971.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100101202221001 its reverse (100122202101001), we get a palindrome (200223404322002).

The spelling of 100101202221001 in words is "one hundred trillion, one hundred one billion, two hundred two million, two hundred twenty-one thousand, one".