101100106101 has 8 divisors (see below), whose sum is σ = 140661017280. Its totient is φ = 64469632832.

The previous prime is 101100106099. The next prime is 101100106103. The reversal of 101100106101 is 101601001101.

It is an interprime number because it is at equal distance from previous prime (101100106099) and next prime (101100106103).

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

It is a cyclic number.

It is not a de Polignac number, because 101100106101 - 2¹ = 101100106099 is a prime.

It is a super-3 number, since 3×101100106101³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100106103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732609396 + ... + 732609533.

It is an arithmetic number, because the mean of its divisors is an integer number (17582627160).

Almost surely, 2^101100106101 is an apocalyptic number.

It is an amenable number.

101100106101 is a deficient number, since it is larger than the sum of its proper divisors (39560911179).

101100106101 is a wasteful number, since it uses less digits than its factorization.

101100106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465218955.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101100106101 its reverse (101601001101), we get a palindrome (202701107202).

The spelling of 101100106101 in words is "one hundred one billion, one hundred million, one hundred six thousand, one hundred one".