101122101000112 has 20 divisors (see below), whose sum is σ = 195987703154320. Its totient is φ = 50544629218368.

The previous prime is 101122101000101. The next prime is 101122101000119. The reversal of 101122101000112 is 211000101221101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101122101000092 and 101122101000101.

It is not an unprimeable number, because it can be changed into a prime (101122101000119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1026279303 + ... + 1026377830.

It is an arithmetic number, because the mean of its divisors is an integer number (9799385157716).

Almost surely, 2^{101122101000112} is an apocalyptic number.

It is an amenable number.

101122101000112 is a deficient number, since it is larger than the sum of its proper divisors (94865602154208).

101122101000112 is a wasteful number, since it uses less digits than its factorization.

101122101000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052660220 (or 2052660214 counting only the distinct ones).

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

Adding to 101122101000112 its reverse (211000101221101), we get a palindrome (312122202221213).

The spelling of 101122101000112 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred one million, one hundred twelve", and thus it is an aban number.