101022110110112 has 48 divisors (see below), whose sum is σ = 199425875820192. Its totient is φ = 50374406503680.

The previous prime is 101022110110109. The next prime is 101022110110121. The reversal of 101022110110112 is 211011011220101.

It is a super-3 number, since 3×101022110110112³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21304763 + ... + 25611269.

It is an arithmetic number, because the mean of its divisors is an integer number (4154705746254).

Almost surely, 2^{101022110110112} is an apocalyptic number.

It is an amenable number.

101022110110112 is a deficient number, since it is larger than the sum of its proper divisors (98403765710080).

101022110110112 is a wasteful number, since it uses less digits than its factorization.

101022110110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308501 (or 4308493 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101022110110112 its reverse (211011011220101), we get a palindrome (312033121330213).

The spelling of 101022110110112 in words is "one hundred one trillion, twenty-two billion, one hundred ten million, one hundred ten thousand, one hundred twelve".