101020120020012 has 48 divisors (see below), whose sum is σ = 239711943340800. Its totient is φ = 33102198507840.

The previous prime is 101020120019983. The next prime is 101020120020013. The reversal of 101020120020012 is 210020021020101.

101020120020012 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 a self number, because there is not a number n which added to its sum of digits gives 101020120020012.

It is not an unprimeable number, because it can be changed into a prime (101020120020013) 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 15 ways as a sum of consecutive naturals, for example, 54698689 + ... + 56515367.

It is an arithmetic number, because the mean of its divisors is an integer number (4993998819600).

Almost surely, 2^{101020120020012} is an apocalyptic number.

101020120020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020120020012 is an abundant number, since it is smaller than the sum of its proper divisors (138691823320788).

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

101020120020012 is a wasteful number, since it uses less digits than its factorization.

101020120020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895286 (or 1895284 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020120020012 its reverse (210020021020101), we get a palindrome (311040141040113).

The spelling of 101020120020012 in words is "one hundred one trillion, twenty billion, one hundred twenty million, twenty thousand, twelve".