10100012101 has 2 divisors, whose sum is σ = 10100012102. Its totient is φ = 10100012100.

The previous prime is 10100012093. The next prime is 10100012113. The reversal of 10100012101 is 10121000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10085381476 + 14630625 = 100426^2 + 3825^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100012101 - 2³ = 10100012093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100013101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050006050 + 5050006051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050006051).

Almost surely, 2^10100012101 is an apocalyptic number.

It is an amenable number.

10100012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100012101 is an equidigital number, since it uses as much as digits as its factorization.

10100012101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100012101 its reverse (10121000101), we get a palindrome (20221012202).

The spelling of 10100012101 in words is "ten billion, one hundred million, twelve thousand, one hundred one".