20101020011200 has 84 divisors (see below), whose sum is σ = 49467315080920. Its totient is φ = 8039393187840.

The previous prime is 20101020011173. The next prime is 20101020011207. The reversal of 20101020011200 is 211002010102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20101020011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11951956 + ... + 13529644.

Almost surely, 2^{20101020011200} is an apocalyptic number.

20101020011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101020011200 is an abundant number, since it is smaller than the sum of its proper divisors (29366295069720).

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

20101020011200 is a wasteful number, since it uses less digits than its factorization.

20101020011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585674 (or 1585659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101020011200 its reverse (211002010102), we get a palindrome (20312022021302).

The spelling of 20101020011200 in words is "twenty trillion, one hundred one billion, twenty million, eleven thousand, two hundred".