100112010101890 has 64 divisors (see below), whose sum is σ = 183037364697600. Its totient is φ = 39419643949056.

The previous prime is 100112010101867. The next prime is 100112010101891. The reversal of 100112010101890 is 98101010211001.

It is not an unprimeable number, because it can be changed into a prime (100112010101891) 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 31 ways as a sum of consecutive naturals, for example, 134549206 + ... + 135291214.

It is an arithmetic number, because the mean of its divisors is an integer number (2859958823400).

Almost surely, 2^{100112010101890} is an apocalyptic number.

100112010101890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112010101890 is a deficient number, since it is larger than the sum of its proper divisors (82925354595710).

100112010101890 is a wasteful number, since it uses less digits than its factorization.

100112010101890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742859.

The product of its (nonzero) digits is 144, while the sum is 25.

Adding to 100112010101890 its reverse (98101010211001), we get a palindrome (198213020312891).

The spelling of 100112010101890 in words is "one hundred trillion, one hundred twelve billion, ten million, one hundred one thousand, eight hundred ninety".