101111022100112 has 20 divisors (see below), whose sum is σ = 195916686294060. Its totient is φ = 50551877250048.

The previous prime is 101111022100057. The next prime is 101111022100129. The reversal of 101111022100112 is 211001220111101.

It can be written as a sum of positive squares in 2 ways, for example, as 66278551274896 + 34832470825216 = 8141164^2 + 5901904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226882937 + ... + 227328152.

It is an arithmetic number, because the mean of its divisors is an integer number (9795834314703).

Almost surely, 2^{101111022100112} is an apocalyptic number.

It is an amenable number.

101111022100112 is a deficient number, since it is larger than the sum of its proper divisors (94805664193948).

101111022100112 is a wasteful number, since it uses less digits than its factorization.

101111022100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454225010 (or 454225004 counting only the distinct ones).

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

Adding to 101111022100112 its reverse (211001220111101), we get a palindrome (312112242211213).

The spelling of 101111022100112 in words is "one hundred one trillion, one hundred eleven billion, twenty-two million, one hundred thousand, one hundred twelve".