10106100101 has 4 divisors (see below), whose sum is σ = 10118380512. Its totient is φ = 10093819692.

The previous prime is 10106100079. The next prime is 10106100107. The reversal of 10106100101 is 10100160101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10106100101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106100107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6138971 + ... + 6140616.

It is an arithmetic number, because the mean of its divisors is an integer number (2529595128).

Almost surely, 2^10106100101 is an apocalyptic number.

It is an amenable number.

10106100101 is a deficient number, since it is larger than the sum of its proper divisors (12280411).

10106100101 is an equidigital number, since it uses as much as digits as its factorization.

10106100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12280410.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10106100101 its reverse (10100160101), we get a palindrome (20206260202).

The spelling of 10106100101 in words is "ten billion, one hundred six million, one hundred thousand, one hundred one".