100100121100010 has 16 divisors (see below), whose sum is σ = 180228954919176. Its totient is φ = 40029218009088.

The previous prime is 100100121100009. The next prime is 100100121100037. The reversal of 100100121100010 is 10001121001001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 72295244080921 + 27804877019089 = 8502661^2 + 5273033^2 .

It is an unprimeable number.

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, 1353765047 + ... + 1353838986.

Almost surely, 2^{100100121100010} is an apocalyptic number.

100100121100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100121100010 is a deficient number, since it is larger than the sum of its proper divisors (80128833819166).

100100121100010 is a wasteful number, since it uses less digits than its factorization.

100100121100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707607737.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100100121100010 its reverse (10001121001001), we get a palindrome (110101242101011).

Subtracting from 100100121100010 its reverse (10001121001001), we obtain a palindrome (90099000099009).

The spelling of 100100121100010 in words is "one hundred trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, ten".