10100100106 has 8 divisors (see below), whose sum is σ = 15672569220. Its totient is φ = 4875910368.

The previous prime is 10100100079. The next prime is 10100100133. The reversal of 10100100106 is 60100100101.

It is an interprime number because it is at equal distance from previous prime (10100100079) and next prime (10100100133).

It can be written as a sum of positive squares in 2 ways, for example, as 10051867081 + 48233025 = 100259^2 + 6945^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×10100100106² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100100092 and 10100100101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87069771 + ... + 87069886.

Almost surely, 2^10100100106 is an apocalyptic number.

10100100106 is a deficient number, since it is larger than the sum of its proper divisors (5572469114).

10100100106 is a wasteful number, since it uses less digits than its factorization.

10100100106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174139688.

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

Adding to 10100100106 its reverse (60100100101), we get a palindrome (70200200207).

The spelling of 10100100106 in words is "ten billion, one hundred million, one hundred thousand, one hundred six".