10100240131014 has 72 divisors (see below), whose sum is σ = 24058641382776. Its totient is φ = 3060107740800.

The previous prime is 10100240130997. The next prime is 10100240131043. The reversal of 10100240131014 is 41013104200101.

10100240131014 is a `hidden beast` number, since 1 + 0 + 100 + 240 + 1 + 310 + 14 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11316009 + ... + 12175899.

It is an arithmetic number, because the mean of its divisors is an integer number (334147796983).

Almost surely, 2^{10100240131014} is an apocalyptic number.

10100240131014 is an abundant number, since it is smaller than the sum of its proper divisors (13958401251762).

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

10100240131014 is a wasteful number, since it uses less digits than its factorization.

10100240131014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865314 (or 865300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10100240131014 its reverse (41013104200101), we get a palindrome (51113344331115).

The spelling of 10100240131014 in words is "ten trillion, one hundred billion, two hundred forty million, one hundred thirty-one thousand, fourteen".