100000101 has 8 divisors (see below), whose sum is σ = 134132544. Its totient is φ = 66267200.

The previous prime is 100000081. The next prime is 100000123. The reversal of 100000101 is 101000001.

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 100000101 - 2⁶ = 100000037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

100000101 is a modest number, since divided by 101 gives 1 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99300 + ... + 100301.

It is an arithmetic number, because the mean of its divisors is an integer number (16766568).

Almost surely, 2^100000101 is an apocalyptic number.

It is an amenable number.

100000101 is a deficient number, since it is larger than the sum of its proper divisors (34132443).

100000101 is a wasteful number, since it uses less digits than its factorization.

100000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199771.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 100000101 is about 10000.0050499987. The cubic root of 100000101 is about 464.1590396280.

Adding to 100000101 its reverse (101000001), we get a palindrome (201000102).

The spelling of 100000101 in words is "one hundred million, one hundred one", and thus it is an aban number.