101201020011200 has 84 divisors (see below), whose sum is σ = 249051747249840. Its totient is φ = 40474883005440.

The previous prime is 101201020011181. The next prime is 101201020011257. The reversal of 101201020011200 is 2110020102101.

101201020011200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7420061 + ... + 16045539.

Almost surely, 2^{101201020011200} is an apocalyptic number.

101201020011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201020011200 is an abundant number, since it is smaller than the sum of its proper divisors (147850727238640).

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

101201020011200 is an equidigital number, since it uses as much as digits as its factorization.

101201020011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632834 (or 8632819 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101201020011200 its reverse (2110020102101), we get a palindrome (103311040113301).

Subtracting from 101201020011200 its reverse (2110020102101), we obtain a palindrome (99090999909099).

The spelling of 101201020011200 in words is "one hundred one trillion, two hundred one billion, twenty million, eleven thousand, two hundred".