100102000010 has 32 divisors (see below), whose sum is σ = 188061564672. Its totient is φ = 38290954240.

The previous prime is 100102000007. The next prime is 100102000013. The reversal of 100102000010 is 10000201001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100102000007) and next prime (100102000013).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100101999958 and 100102000003.

It is not an unprimeable number, because it can be changed into a prime (100102000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982067 + ... + 1079193.

It is an arithmetic number, because the mean of its divisors is an integer number (5876923896).

Almost surely, 2^100102000010 is an apocalyptic number.

100102000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102000010 is a deficient number, since it is larger than the sum of its proper divisors (87959564662).

100102000010 is a wasteful number, since it uses less digits than its factorization.

100102000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101638.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100102000010 its reverse (10000201001), we get a palindrome (110102201011).

The spelling of 100102000010 in words is "one hundred billion, one hundred two million, ten", and thus it is an aban number.