100234113134040 has 192 divisors, whose sum is σ = 349475261335200. Its totient is φ = 25807403768832.

The previous prime is 100234113133981. The next prime is 100234113134083. The reversal of 100234113134040 is 40431311432001.

100234113134040 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 341 + 1 + 313 + 4 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100234113133995 and 100234113134013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177513837 + ... + 178077596.

Almost surely, 2^{100234113134040} is an apocalyptic number.

100234113134040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100234113134040 is an abundant number, since it is smaller than the sum of its proper divisors (249241148201160).

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

100234113134040 is a wasteful number, since it uses less digits than its factorization.

100234113134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355591488 (or 355591472 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100234113134040 its reverse (40431311432001), we get a palindrome (140665424566041).

The spelling of 100234113134040 in words is "one hundred trillion, two hundred thirty-four billion, one hundred thirteen million, one hundred thirty-four thousand, forty".