100142002431135 has 64 divisors (see below), whose sum is σ = 205263674818560. Its totient is φ = 45374075389440.

The previous prime is 100142002431091. The next prime is 100142002431161. The reversal of 100142002431135 is 531134200241001.

100142002431135 is a `hidden beast` number, since 1 + 0 + 0 + 14 + 200 + 2 + 431 + 13 + 5 = 666.

It is not a de Polignac number, because 100142002431135 - 2⁸ = 100142002430879 is a prime.

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 = 100142002431099 and 100142002431108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468788671 + ... + 469002240.

It is an arithmetic number, because the mean of its divisors is an integer number (3207244919040).

Almost surely, 2^{100142002431135} is an apocalyptic number.

100142002431135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100142002431135 is an abundant number, since it is smaller than the sum of its proper divisors (105121672387425).

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

100142002431135 is a wasteful number, since it uses less digits than its factorization.

100142002431135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937791045 (or 937791039 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 100142002431135 its reverse (531134200241001), we get a palindrome (631276202672136).

The spelling of 100142002431135 in words is "one hundred trillion, one hundred forty-two billion, two million, four hundred thirty-one thousand, one hundred thirty-five".