20101123200 has 192 divisors, whose sum is σ = 67998683520. Its totient is φ = 5215334400.

The previous prime is 20101123157. The next prime is 20101123219. The reversal of 20101123200 is 232110102.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326905 + ... + 383495.

It is an arithmetic number, because the mean of its divisors is an integer number (354159810).

Almost surely, 2^20101123200 is an apocalyptic number.

20101123200 is a gapful number since it is divisible by the number (20) 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 20101123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33999341760).

20101123200 is an abundant number, since it is smaller than the sum of its proper divisors (47897560320).

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

20101123200 is a wasteful number, since it uses less digits than its factorization.

20101123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56655 (or 56638 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20101123200 its reverse (232110102), we get a palindrome (20333233302).

The spelling of 20101123200 in words is "twenty billion, one hundred one million, one hundred twenty-three thousand, two hundred".