101123011200 has 192 divisors, whose sum is σ = 333481468320. Its totient is φ = 26933145600.

The previous prime is 101123011139. The next prime is 101123011229. The reversal of 101123011200 is 2110321101.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8413195 + ... + 8425205.

Almost surely, 2^101123011200 is an apocalyptic number.

101123011200 is a gapful number since it is divisible by the number (10) 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 101123011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166740734160).

101123011200 is an abundant number, since it is smaller than the sum of its proper divisors (232358457120).

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

101123011200 is a wasteful number, since it uses less digits than its factorization.

101123011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12915 (or 12898 counting only the distinct ones).

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

Adding to 101123011200 its reverse (2110321101), we get a palindrome (103233332301).

The spelling of 101123011200 in words is "one hundred one billion, one hundred twenty-three million, eleven thousand, two hundred".