100200123133110 has 384 divisors, whose sum is σ = 359243303537664. Its totient is φ = 18699765857280.

The previous prime is 100200123133079. The next prime is 100200123133139. The reversal of 100200123133110 is 11331321002001.

100200123133110 is a `hidden beast` number, since 1 + 0 + 0 + 200 + 123 + 1 + 331 + 10 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11696704 + ... + 18363363.

It is an arithmetic number, because the mean of its divisors is an integer number (935529436296).

Almost surely, 2^{100200123133110} is an apocalyptic number.

100200123133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100200123133110 is an abundant number, since it is smaller than the sum of its proper divisors (259043180404554).

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

100200123133110 is a wasteful number, since it uses less digits than its factorization.

100200123133110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30060148 (or 30060145 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100200123133110 its reverse (11331321002001), we get a palindrome (111531444135111).

The spelling of 100200123133110 in words is "one hundred trillion, two hundred billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred ten".