101010200120112 has 20 divisors (see below), whose sum is σ = 260943016977080. Its totient is φ = 33670066706688.

The previous prime is 101010200120099. The next prime is 101010200120117. The reversal of 101010200120112 is 211021002010101.

101010200120112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101010200120117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1052189584537 + ... + 1052189584632.

It is an arithmetic number, because the mean of its divisors is an integer number (13047150848854).

Almost surely, 2^{101010200120112} is an apocalyptic number.

101010200120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101010200120112 is an abundant number, since it is smaller than the sum of its proper divisors (159932816856968).

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

101010200120112 is a wasteful number, since it uses less digits than its factorization.

101010200120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104379169180 (or 2104379169174 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101010200120112 its reverse (211021002010101), we get a palindrome (312031202130213).

The spelling of 101010200120112 in words is "one hundred one trillion, ten billion, two hundred million, one hundred twenty thousand, one hundred twelve".