10110100100112 has 80 divisors (see below), whose sum is σ = 29046042958080. Its totient is φ = 3366977874048.

The previous prime is 10110100100003. The next prime is 10110100100141. The reversal of 10110100100112 is 21100100101101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10110100100094 and 10110100100103.

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, 10132303 + ... + 11085294.

It is an arithmetic number, because the mean of its divisors is an integer number (363075536976).

Almost surely, 2^{10110100100112} is an apocalyptic number.

10110100100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10110100100112 is an abundant number, since it is smaller than the sum of its proper divisors (18935942857968).

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

10110100100112 is a wasteful number, since it uses less digits than its factorization.

10110100100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21218717 (or 21218705 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10110100100112 its reverse (21100100101101), we get a palindrome (31210200201213).

The spelling of 10110100100112 in words is "ten trillion, one hundred ten billion, one hundred million, one hundred thousand, one hundred twelve".