10110102122112 has 64 divisors (see below), whose sum is σ = 28434662236800. Its totient is φ = 3171796742144.

The previous prime is 10110102122101. The next prime is 10110102122207. The reversal of 10110102122112 is 21122120101101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10110102122091 and 10110102122100.

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 7 ways as a sum of consecutive naturals, for example, 774357912 + ... + 774370967.

It is an arithmetic number, because the mean of its divisors is an integer number (444291597450).

Almost surely, 2^{10110102122112} is an apocalyptic number.

10110102122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10110102122112 is an abundant number, since it is smaller than the sum of its proper divisors (18324560114688).

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

10110102122112 is a wasteful number, since it uses less digits than its factorization.

10110102122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548728913 (or 1548728901 counting only the distinct ones).

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

Adding to 10110102122112 its reverse (21122120101101), we get a palindrome (31232222223213).

The spelling of 10110102122112 in words is "ten trillion, one hundred ten billion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".