100112121110 has 32 divisors (see below), whose sum is σ = 184107409920. Its totient is φ = 39177601632.

The previous prime is 100112121107. The next prime is 100112121149. The reversal of 100112121110 is 11121211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112121091 and 100112121100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209677 + ... + 1289783.

It is an arithmetic number, because the mean of its divisors is an integer number (5753356560).

Almost surely, 2^100112121110 is an apocalyptic number.

100112121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112121110 is a deficient number, since it is larger than the sum of its proper divisors (83995288810).

100112121110 is a wasteful number, since it uses less digits than its factorization.

100112121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82820.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100112121110 its reverse (11121211001), we get a palindrome (111233332111).

The spelling of 100112121110 in words is "one hundred billion, one hundred twelve million, one hundred twenty-one thousand, one hundred ten".