101410103101 has 2 divisors, whose sum is σ = 101410103102. Its totient is φ = 101410103100.

The previous prime is 101410103099. The next prime is 101410103107. The reversal of 101410103101 is 101301014101.

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., 100771328025 + 638775076 = 317445^2 + 25274^2 .

It is a cyclic number.

It is not a de Polignac number, because 101410103101 - 2¹ = 101410103099 is a prime.

Together with 101410103099, 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 (101410103107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50705051550 + 50705051551.

It is an arithmetic number, because the mean of its divisors is an integer number (50705051551).

Almost surely, 2^101410103101 is an apocalyptic number.

It is an amenable number.

101410103101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101410103101 is an equidigital number, since it uses as much as digits as its factorization.

101410103101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101410103101 its reverse (101301014101), we get a palindrome (202711117202).

The spelling of 101410103101 in words is "one hundred one billion, four hundred ten million, one hundred three thousand, one hundred one".