101638101 has 8 divisors (see below), whose sum is σ = 135578304. Its totient is φ = 67728320.

The previous prime is 101638093. The next prime is 101638109. The reversal of 101638101 is 101836101.

It is an interprime number because it is at equal distance from previous prime (101638093) and next prime (101638109).

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 101638101 - 2³ = 101638093 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101638109) 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, 1885 + ... + 14381.

It is an arithmetic number, because the mean of its divisors is an integer number (16947288).

Almost surely, 2^101638101 is an apocalyptic number.

It is an amenable number.

101638101 is a deficient number, since it is larger than the sum of its proper divisors (33940203).

101638101 is a wasteful number, since it uses less digits than its factorization.

101638101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15211.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 101638101 is about 10081.5723476053. The cubic root of 101638101 is about 466.6796326896.

The spelling of 101638101 in words is "one hundred one million, six hundred thirty-eight thousand, one hundred one".