1000100101 has 16 divisors (see below), whose sum is σ = 1342793088. Its totient is φ = 719352000.

The previous prime is 1000100077. The next prime is 1000100161. The reversal of 1000100101 is 1010010001.

It is a cyclic number.

It is not a de Polignac number, because 1000100101 - 2¹⁵ = 1000067333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498550 + ... + 500551.

It is an arithmetic number, because the mean of its divisors is an integer number (83924568).

Almost surely, 2^1000100101 is an apocalyptic number.

1000100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000100101 is a deficient number, since it is larger than the sum of its proper divisors (342692987).

1000100101 is a wasteful number, since it uses less digits than its factorization.

1000100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999132.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1000100101 is about 31624.3592978577. The cubic root of 1000100101 is about 1000.0333658867.

Adding to 1000100101 its reverse (1010010001), we get a palindrome (2010110102).

It can be divided in two parts, 1000 and 100101, that added together give a palindrome (101101).

The spelling of 1000100101 in words is "one billion, one hundred thousand, one hundred one".