100011210212101 has 2 divisors, whose sum is σ = 100011210212102. Its totient is φ = 100011210212100.

The previous prime is 100011210212083. The next prime is 100011210212113. The reversal of 100011210212101 is 101212012110001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82930637103876 + 17080573108225 = 9106626^2 + 4132865^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011210212101 - 2⁹ = 100011210211589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011210222101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005605106050 + 50005605106051.

It is an arithmetic number, because the mean of its divisors is an integer number (50005605106051).

Almost surely, 2^{100011210212101} is an apocalyptic number.

It is an amenable number.

100011210212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011210212101 is an equidigital number, since it uses as much as digits as its factorization.

100011210212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100011210212101 its reverse (101212012110001), we get a palindrome (201223222322102).

The spelling of 100011210212101 in words is "one hundred trillion, eleven billion, two hundred ten million, two hundred twelve thousand, one hundred one".