100010002212101 has 4 divisors (see below), whose sum is σ = 100010324897100. Its totient is φ = 100009679527104.

The previous prime is 100010002212097. The next prime is 100010002212151. The reversal of 100010002212101 is 101212200010001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8715780062500 + 91294222149601 = 2952250^2 + 9554801^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010002212101 - 2² = 100010002212097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010002212151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160877156 + ... + 161497613.

It is an arithmetic number, because the mean of its divisors is an integer number (25002581224275).

Almost surely, 2^{100010002212101} is an apocalyptic number.

It is an amenable number.

100010002212101 is a deficient number, since it is larger than the sum of its proper divisors (322684999).

100010002212101 is an equidigital number, since it uses as much as digits as its factorization.

100010002212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322684998.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010002212101 its reverse (101212200010001), we get a palindrome (201222202222102).

The spelling of 100010002212101 in words is "one hundred trillion, ten billion, two million, two hundred twelve thousand, one hundred one".