10210112100101 has 2 divisors, whose sum is σ = 10210112100102. Its totient is φ = 10210112100100.

The previous prime is 10210112100077. The next prime is 10210112100109. The reversal of 10210112100101 is 10100121101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8959539576001 + 1250572524100 = 2993249^2 + 1118290^2 .

It is a cyclic number.

It is not a de Polignac number, because 10210112100101 - 2³⁴ = 10192932230917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10210112100109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105056050050 + 5105056050051.

It is an arithmetic number, because the mean of its divisors is an integer number (5105056050051).

Almost surely, 2^{10210112100101} is an apocalyptic number.

It is an amenable number.

10210112100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210112100101 is an equidigital number, since it uses as much as digits as its factorization.

10210112100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10210112100101 its reverse (10100121101201), we get a palindrome (20310233201302).

The spelling of 10210112100101 in words is "ten trillion, two hundred ten billion, one hundred twelve million, one hundred thousand, one hundred one".