10010003114040 has 64 divisors (see below), whose sum is σ = 31610536156800. Its totient is φ = 2528842891392.

The previous prime is 10010003113993. The next prime is 10010003114087. The reversal of 10010003114040 is 4041130001001.

It is an interprime number because it is at equal distance from previous prime (10010003113993) and next prime (10010003114087).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2195173842 + ... + 2195178401.

It is an arithmetic number, because the mean of its divisors is an integer number (493914627450).

Almost surely, 2^{10010003114040} is an apocalyptic number.

10010003114040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010003114040 is an abundant number, since it is smaller than the sum of its proper divisors (21600533042760).

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

10010003114040 is a wasteful number, since it uses less digits than its factorization.

10010003114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390352276 (or 4390352272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10010003114040 its reverse (4041130001001), we get a palindrome (14051133115041).

The spelling of 10010003114040 in words is "ten trillion, ten billion, three million, one hundred fourteen thousand, forty".