100200301131294 has 768 divisors, whose sum is σ = 284036950425600. Its totient is φ = 25627721393664.

The previous prime is 100200301131289. The next prime is 100200301131367. The reversal of 100200301131294 is 492131103002001.

100200301131294 is a `hidden beast` number, since 1 + 0 + 0 + 200 + 301 + 131 + 29 + 4 = 666.

It is a super-2 number, since 2×100200301131294² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 148006352884 + ... + 148006353560.

It is an arithmetic number, because the mean of its divisors is an integer number (369839779200).

Almost surely, 2^{100200301131294} is an apocalyptic number.

100200301131294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200301131294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142018475212800).

100200301131294 is an abundant number, since it is smaller than the sum of its proper divisors (183836649294306).

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

100200301131294 is a wasteful number, since it uses less digits than its factorization.

100200301131294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 100200301131294 its reverse (492131103002001), we get a palindrome (592331404133295).

The spelling of 100200301131294 in words is "one hundred trillion, two hundred billion, three hundred one million, one hundred thirty-one thousand, two hundred ninety-four".