101101122112 has 28 divisors (see below), whose sum is σ = 201276071920. Its totient is φ = 50385891456.

The previous prime is 101101122077. The next prime is 101101122137. The reversal of 101101122112 is 211221101101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101101122092 and 101101122101.

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, 2553162 + ... + 2592457.

It is an arithmetic number, because the mean of its divisors is an integer number (7188431140).

Almost surely, 2^101101122112 is an apocalyptic number.

It is an amenable number.

101101122112 is a deficient number, since it is larger than the sum of its proper divisors (100174949808).

101101122112 is an equidigital number, since it uses as much as digits as its factorization.

101101122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145938 (or 5145928 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101122112 its reverse (211221101101), we get a palindrome (312322223213).

The spelling of 101101122112 in words is "one hundred one billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".