10131020101 has 2 divisors, whose sum is σ = 10131020102. Its totient is φ = 10131020100.

The previous prime is 10131020083. The next prime is 10131020113. The reversal of 10131020101 is 10102013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8183916225 + 1947103876 = 90465^2 + 44126^2 .

It is an emirp because it is prime and its reverse (10102013101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10131020101 - 2⁷ = 10131019973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131020161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065510050 + 5065510051.

It is an arithmetic number, because the mean of its divisors is an integer number (5065510051).

Almost surely, 2^10131020101 is an apocalyptic number.

It is an amenable number.

10131020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131020101 is an equidigital number, since it uses as much as digits as its factorization.

10131020101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10131020101 its reverse (10102013101), we get a palindrome (20233033202).

The spelling of 10131020101 in words is "ten billion, one hundred thirty-one million, twenty thousand, one hundred one".