10022012102112 has 24 divisors (see below), whose sum is σ = 26307781768296. Its totient is φ = 3340670700672.

The previous prime is 10022012102087. The next prime is 10022012102117. The reversal of 10022012102112 is 21120121022001.

10022012102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10022012102112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022012102091 and 10022012102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022012102117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52197979603 + ... + 52197979794.

It is an arithmetic number, because the mean of its divisors is an integer number (1096157573679).

Almost surely, 2^{10022012102112} is an apocalyptic number.

10022012102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022012102112 is an abundant number, since it is smaller than the sum of its proper divisors (16285769666184).

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

10022012102112 is a wasteful number, since it uses less digits than its factorization.

10022012102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104395959410 (or 104395959402 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10022012102112 its reverse (21120121022001), we get a palindrome (31142133124113).

The spelling of 10022012102112 in words is "ten trillion, twenty-two billion, twelve million, one hundred two thousand, one hundred twelve".