100100121121110 has 32 divisors (see below), whose sum is σ = 262080317117952. Its totient is φ = 24266696029280.

The previous prime is 100100121121097. The next prime is 100100121121139. The reversal of 100100121121110 is 11121121001001.

It is a congruent number.

It is an unprimeable number.

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, 151666849854 + ... + 151666850513.

It is an arithmetic number, because the mean of its divisors is an integer number (8190009909936).

Almost surely, 2^{100100121121110} is an apocalyptic number.

100100121121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100121121110 is an abundant number, since it is smaller than the sum of its proper divisors (161980195996842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100100121121110 is a wasteful number, since it uses less digits than its factorization.

100100121121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303333700388.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100100121121110 its reverse (11121121001001), we get a palindrome (111221242122111).

The spelling of 100100121121110 in words is "one hundred trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred ten".