10122100002112 has 56 divisors (see below), whose sum is σ = 23246052527360. Its totient is φ = 4283130908160.

The previous prime is 10122100002101. The next prime is 10122100002121. The reversal of 10122100002112 is 21120000122101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 10122100002092 and 10122100002101.

It is a congruent number.

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, 142964439 + ... + 143035222.

Almost surely, 2^{10122100002112} is an apocalyptic number.

It is an amenable number.

10122100002112 is an abundant number, since it is smaller than the sum of its proper divisors (13123952525248).

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

10122100002112 is an equidigital number, since it uses as much as digits as its factorization.

10122100002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285999759 (or 285999749 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10122100002112 its reverse (21120000122101), we get a palindrome (31242100124213).

The spelling of 10122100002112 in words is "ten trillion, one hundred twenty-two billion, one hundred million, two thousand, one hundred twelve".