10221000102112 has 48 divisors (see below), whose sum is σ = 20388633854400. Its totient is φ = 5043006259200.

The previous prime is 10221000102109. The next prime is 10221000102121. The reversal of 10221000102112 is 21120100012201.

It is a junction number, because it is equal to n+sod(n) for n = 10221000102092 and 10221000102101.

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 7 ways as a sum of consecutive naturals, for example, 3430464 + ... + 5675392.

It is an arithmetic number, because the mean of its divisors is an integer number (424763205300).

Almost surely, 2^{10221000102112} is an apocalyptic number.

It is an amenable number.

10221000102112 is a deficient number, since it is larger than the sum of its proper divisors (10167633752288).

10221000102112 is a wasteful number, since it uses less digits than its factorization.

10221000102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246819 (or 2246811 counting only the distinct ones).

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

Adding to 10221000102112 its reverse (21120100012201), we get a palindrome (31341100114313).

The spelling of 10221000102112 in words is "ten trillion, two hundred twenty-one billion, one hundred two thousand, one hundred twelve".