101000120000112 has 240 divisors, whose sum is σ = 295495576635168. Its totient is φ = 32175046748160.

The previous prime is 101000120000111. The next prime is 101000120000147. The reversal of 101000120000112 is 211000021000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101000120000094 and 101000120000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000120000111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75844662 + ... + 77164842.

Almost surely, 2^{101000120000112} is an apocalyptic number.

101000120000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000120000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147747788317584).

101000120000112 is an abundant number, since it is smaller than the sum of its proper divisors (194495456635056).

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

101000120000112 is a wasteful number, since it uses less digits than its factorization.

101000120000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320488 (or 1320479 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101000120000112 its reverse (211000021000101), we get a palindrome (312000141000213).

The spelling of 101000120000112 in words is "one hundred one trillion, one hundred twenty million, one hundred twelve", and thus it is an aban number.