100200554131300 has 288 divisors, whose sum is σ = 255833945579520. Its totient is φ = 33357112588800.

The previous prime is 100200554131277. The next prime is 100200554131313. The reversal of 100200554131300 is 3131455002001.

It is a happy number.

It is a super-4 number, since 4×100200554131300⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1558708959 + ... + 1558773241.

It is an arithmetic number, because the mean of its divisors is an integer number (888312311040).

Almost surely, 2^{100200554131300} is an apocalyptic number.

100200554131300 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 100200554131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127916972789760).

100200554131300 is an abundant number, since it is smaller than the sum of its proper divisors (155633391448220).

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

100200554131300 is a wasteful number, since it uses less digits than its factorization.

100200554131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64851 (or 64844 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 100200554131300 in words is "one hundred trillion, two hundred billion, five hundred fifty-four million, one hundred thirty-one thousand, three hundred".