101123121310200 has 1152 divisors, whose sum is σ = 394909519530240. Its totient is φ = 22917888000000.

The previous prime is 101123121310153. The next prime is 101123121310213. The reversal of 101123121310200 is 2013121321101.

101123121310200 is a `hidden beast` number, since 1 + 0 + 11 + 23 + 121 + 310 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69692019475 + ... + 69692020925.

It is an arithmetic number, because the mean of its divisors is an integer number (342803402370).

Almost surely, 2^{101123121310200} is an apocalyptic number.

101123121310200 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 101123121310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197454759765120).

101123121310200 is an abundant number, since it is smaller than the sum of its proper divisors (293786398220040).

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

101123121310200 is a wasteful number, since it uses less digits than its factorization.

101123121310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101123121310200 its reverse (2013121321101), we get a palindrome (103136242631301).

The spelling of 101123121310200 in words is "one hundred one trillion, one hundred twenty-three billion, one hundred twenty-one million, three hundred ten thousand, two hundred".