101120120010112 has 128 divisors (see below), whose sum is σ = 243993974898240. Its totient is φ = 40750759477248.

The previous prime is 101120120010109. The next prime is 101120120010179. The reversal of 101120120010112 is 211010021021101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 101120120010092 and 101120120010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13683678 + ... + 19735330.

Almost surely, 2^{101120120010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120120010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121996987449120).

101120120010112 is an abundant number, since it is smaller than the sum of its proper divisors (142873854888128).

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

101120120010112 is a wasteful number, since it uses less digits than its factorization.

101120120010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052788 (or 6052776 counting only the distinct ones).

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

Adding to 101120120010112 its reverse (211010021021101), we get a palindrome (312130141031213).

The spelling of 101120120010112 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty million, ten thousand, one hundred twelve".