100106101 has 4 divisors (see below), whose sum is σ = 100187500. Its totient is φ = 100024704.

The previous prime is 100106093. The next prime is 100106119. The reversal of 100106101 is 101601001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 74805201 + 25300900 = 8649^2 + 5030^2 .

It is a cyclic number.

It is not a de Polignac number, because 100106101 - 2³ = 100106093 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 (100106191) 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, 38826 + ... + 41323.

It is an arithmetic number, because the mean of its divisors is an integer number (25046875).

Almost surely, 2^100106101 is an apocalyptic number.

It is an amenable number.

100106101 is a deficient number, since it is larger than the sum of its proper divisors (81399).

100106101 is an equidigital number, since it uses as much as digits as its factorization.

100106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81398.

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

The square root of 100106101 is about 10005.3036435682. The cubic root of 100106101 is about 464.3229844096.

Adding to 100106101 its reverse (101601001), we get a palindrome (201707102).

The spelling of 100106101 in words is "one hundred million, one hundred six thousand, one hundred one".