100102112120112 has 40 divisors (see below), whose sum is σ = 272207497872960. Its totient is φ = 31611193300800.

The previous prime is 100102112120081. The next prime is 100102112120149. The reversal of 100102112120112 is 211021211201001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100102112120091 and 100102112120100.

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, 54880543014 + ... + 54880544837.

It is an arithmetic number, because the mean of its divisors is an integer number (6805187446824).

Almost surely, 2^{100102112120112} is an apocalyptic number.

100102112120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102112120112 is an abundant number, since it is smaller than the sum of its proper divisors (172105385752848).

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

100102112120112 is a wasteful number, since it uses less digits than its factorization.

100102112120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109761087881 (or 109761087875 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100102112120112 its reverse (211021211201001), we get a palindrome (311123323321113).

The spelling of 100102112120112 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, one hundred twenty thousand, one hundred twelve".