100111120022112 has 48 divisors (see below), whose sum is σ = 262899084091392. Its totient is φ = 33356736003200.

The previous prime is 100111120022093. The next prime is 100111120022119. The reversal of 100111120022112 is 211220021111001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 100111120022091 and 100111120022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111120022119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212847264 + ... + 213317087.

It is an arithmetic number, because the mean of its divisors is an integer number (5477064251904).

Almost surely, 2^{100111120022112} is an apocalyptic number.

100111120022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111120022112 is an abundant number, since it is smaller than the sum of its proper divisors (162787964069280).

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

100111120022112 is a wasteful number, since it uses less digits than its factorization.

100111120022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426166811 (or 426166803 counting only the distinct ones).

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

Adding to 100111120022112 its reverse (211220021111001), we get a palindrome (311331141133113).

The spelling of 100111120022112 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty million, twenty-two thousand, one hundred twelve".