10106100011 has 12 divisors (see below), whose sum is σ = 11757917592. Its totient is φ = 8661014208.

The previous prime is 10106099953. The next prime is 10106100013. The reversal of 10106100011 is 11000160101.

It is not a de Polignac number, because 10106100011 - 2²² = 10101905707 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10106099965 and 10106100001.

It is not an unprimeable number, because it can be changed into a prime (10106100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417116 + ... + 440678.

It is an arithmetic number, because the mean of its divisors is an integer number (979826466).

Almost surely, 2^10106100011 is an apocalyptic number.

10106100011 is a deficient number, since it is larger than the sum of its proper divisors (1651817581).

10106100011 is an equidigital number, since it uses as much as digits as its factorization.

10106100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32330 (or 32323 counting only the distinct ones).

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

Adding to 10106100011 its reverse (11000160101), we get a palindrome (21106260112).

The spelling of 10106100011 in words is "ten billion, one hundred six million, one hundred thousand, eleven".