100020000210101 has 8 divisors (see below), whose sum is σ = 100092009725400. Its totient is φ = 99948002929920.

The previous prime is 100020000210037. The next prime is 100020000210131. The reversal of 100020000210101 is 101012000020001.

It can be written as a sum of positive squares in 4 ways, for example, as 60625673490001 + 39394326720100 = 7786249^2 + 6276490^2 .

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 100020000210101 - 2⁶ = 100020000210037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020000210131) 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, 13328345 + ... + 19434113.

It is an arithmetic number, because the mean of its divisors is an integer number (12511501215675).

Almost surely, 2^{100020000210101} is an apocalyptic number.

It is an amenable number.

100020000210101 is a deficient number, since it is larger than the sum of its proper divisors (72009515299).

100020000210101 is a wasteful number, since it uses less digits than its factorization.

100020000210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6117559.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100020000210101 its reverse (101012000020001), we get a palindrome (201032000230102).

The spelling of 100020000210101 in words is "one hundred trillion, twenty billion, two hundred ten thousand, one hundred one".