1010100117 has 16 divisors (see below), whose sum is σ = 1458793728. Its totient is φ = 618002880.

The previous prime is 1010100103. The next prime is 1010100121. The reversal of 1010100117 is 7110010101.

It is not a de Polignac number, because 1010100117 - 2⁷ = 1010099989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100127) 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 15 ways as a sum of consecutive naturals, for example, 68109 + ... + 81602.

It is an arithmetic number, because the mean of its divisors is an integer number (91174608).

Almost surely, 2^1010100117 is an apocalyptic number.

It is an amenable number.

1010100117 is a deficient number, since it is larger than the sum of its proper divisors (448693611).

1010100117 is a wasteful number, since it uses less digits than its factorization.

1010100117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149900.

The product of its (nonzero) digits is 7, while the sum is 12.

The square root of 1010100117 is about 31782.0722577997. The cubic root of 1010100117 is about 1003.3554341356.

Adding to 1010100117 its reverse (7110010101), we get a palindrome (8120110218).

The spelling of 1010100117 in words is "one billion, ten million, one hundred thousand, one hundred seventeen".