10212100112101 has 2 divisors, whose sum is σ = 10212100112102. Its totient is φ = 10212100112100.

The previous prime is 10212100112099. The next prime is 10212100112171. The reversal of 10212100112101 is 10121100121201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10142957409601 + 69142702500 = 3184801^2 + 262950^2 .

It is an emirp because it is prime and its reverse (10121100121201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10212100112101 - 2¹ = 10212100112099 is a prime.

Together with 10212100112099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212100112171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106050056050 + 5106050056051.

It is an arithmetic number, because the mean of its divisors is an integer number (5106050056051).

Almost surely, 2^{10212100112101} is an apocalyptic number.

It is an amenable number.

10212100112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212100112101 is an equidigital number, since it uses as much as digits as its factorization.

10212100112101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10212100112101 its reverse (10121100121201), we get a palindrome (20333200233302).

The spelling of 10212100112101 in words is "ten trillion, two hundred twelve billion, one hundred million, one hundred twelve thousand, one hundred one".