10140101004264 has 64 divisors (see below), whose sum is σ = 31605509629440. Its totient is φ = 2633792468160.

The previous prime is 10140101004239. The next prime is 10140101004269. The reversal of 10140101004264 is 46240010104101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10140101004269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2743531974 + ... + 2743535669.

It is an arithmetic number, because the mean of its divisors is an integer number (493836087960).

Almost surely, 2^{10140101004264} is an apocalyptic number.

10140101004264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10140101004264 is an abundant number, since it is smaller than the sum of its proper divisors (21465408625176).

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

10140101004264 is a wasteful number, since it uses less digits than its factorization.

10140101004264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487067670 (or 5487067666 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10140101004264 its reverse (46240010104101), we get a palindrome (56380111108365).

The spelling of 10140101004264 in words is "ten trillion, one hundred forty billion, one hundred one million, four thousand, two hundred sixty-four".