10221100112112 has 40 divisors (see below), whose sum is σ = 27118143995856. Its totient is φ = 3314951387136.

The previous prime is 10221100112107. The next prime is 10221100112123. The reversal of 10221100112112 is 21121100112201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10221100112091 and 10221100112100.

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, 2877560193 + ... + 2877563744.

Almost surely, 2^{10221100112112} is an apocalyptic number.

10221100112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221100112112 is an abundant number, since it is smaller than the sum of its proper divisors (16897043883744).

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

10221100112112 is a wasteful number, since it uses less digits than its factorization.

10221100112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755123985 (or 5755123979 counting only the distinct ones).

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

Adding to 10221100112112 its reverse (21121100112201), we get a palindrome (31342200224313).

The spelling of 10221100112112 in words is "ten trillion, two hundred twenty-one billion, one hundred million, one hundred twelve thousand, one hundred twelve".