100100100010010 has 16 divisors (see below), whose sum is σ = 180191343196872. Its totient is φ = 40037559297600.

The previous prime is 100100100009961. The next prime is 100100100010019. The reversal of 100100100010010 is 10010001001001.

It can be written as a sum of positive squares in 4 ways, for example, as 89687661707449 + 10412438302561 = 9470357^2 + 3226831^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100100100009976 and 100100100010003.

It is not an unprimeable number, because it can be changed into a prime (100100100010019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309918821 + ... + 310241640.

Almost surely, 2^{100100100010010} is an apocalyptic number.

100100100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100100010010 is a deficient number, since it is larger than the sum of its proper divisors (80091243186862).

100100100010010 is a wasteful number, since it uses less digits than its factorization.

100100100010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620176609.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100100010010 its reverse (10010001001001), we get a palindrome (110110101011011).

Subtracting from 100100100010010 its reverse (10010001001001), we obtain a palindrome (90090099009009).

The spelling of 100100100010010 in words is "one hundred trillion, one hundred billion, one hundred million, ten thousand, ten".