101101120112112 has 40 divisors (see below), whose sum is σ = 274924098552960. Its totient is φ = 31926669508800.

The previous prime is 101101120112087. The next prime is 101101120112149. The reversal of 101101120112112 is 211211021101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101120112091 and 101101120112100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55428244764 + ... + 55428246587.

It is an arithmetic number, because the mean of its divisors is an integer number (6873102463824).

Almost surely, 2^{101101120112112} is an apocalyptic number.

101101120112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101120112112 is an abundant number, since it is smaller than the sum of its proper divisors (173822978440848).

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

101101120112112 is a wasteful number, since it uses less digits than its factorization.

101101120112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110856491381 (or 110856491375 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101101120112112 its reverse (211211021101101), we get a palindrome (312312141213213).

The spelling of 101101120112112 in words is "one hundred one trillion, one hundred one billion, one hundred twenty million, one hundred twelve thousand, one hundred twelve".