10101101101112 has 64 divisors (see below), whose sum is σ = 22721560888320. Its totient is φ = 4116028612608.

The previous prime is 10101101101111. The next prime is 10101101101123. The reversal of 10101101101112 is 21110110110101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10101101101093 and 10101101101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101101111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23265353 + ... + 23695544.

It is an arithmetic number, because the mean of its divisors is an integer number (355024388880).

Almost surely, 2^{10101101101112} is an apocalyptic number.

It is an amenable number.

10101101101112 is an abundant number, since it is smaller than the sum of its proper divisors (12620459787208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101101101112 is a wasteful number, since it uses less digits than its factorization.

10101101101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46961100 (or 46961096 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10101101101112 its reverse (21110110110101), we get a palindrome (31211211211213).

The spelling of 10101101101112 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred twelve".