10102022102112 has 96 divisors (see below), whose sum is σ = 27762724442880. Its totient is φ = 3212054039040.

The previous prime is 10102022102099. The next prime is 10102022102129. The reversal of 10102022102112 is 21120122020101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10102022102091 and 10102022102100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21627964 + ... + 22090107.

It is an arithmetic number, because the mean of its divisors is an integer number (289195046280).

Almost surely, 2^{10102022102112} is an apocalyptic number.

10102022102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102022102112 is an abundant number, since it is smaller than the sum of its proper divisors (17660702340768).

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

10102022102112 is a wasteful number, since it uses less digits than its factorization.

10102022102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43718196 (or 43718188 counting only the distinct ones).

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

Adding to 10102022102112 its reverse (21120122020101), we get a palindrome (31222144122213).

The spelling of 10102022102112 in words is "ten trillion, one hundred two billion, twenty-two million, one hundred two thousand, one hundred twelve".