10140101005032 has 48 divisors (see below), whose sum is σ = 27463027020000. Its totient is φ = 3380002472736.

The previous prime is 10140101005031. The next prime is 10140101005033. The reversal of 10140101005032 is 23050010104101.

10140101005032 is a `hidden beast` number, since 1 + 0 + 140 + 10 + 10 + 0 + 503 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10140101005031) and next prime (10140101005033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10140101004996 and 10140101005014.

It is not an unprimeable number, because it can be changed into a prime (10140101005031) 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 11 ways as a sum of consecutive naturals, for example, 7999269 + ... + 9179787.

It is an arithmetic number, because the mean of its divisors is an integer number (572146396250).

Almost surely, 2^{10140101005032} is an apocalyptic number.

10140101005032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10140101005032 is an abundant number, since it is smaller than the sum of its proper divisors (17322926014968).

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

10140101005032 is a wasteful number, since it uses less digits than its factorization.

10140101005032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299830 (or 1299823 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10140101005032 its reverse (23050010104101), we get a palindrome (33190111109133).

The spelling of 10140101005032 in words is "ten trillion, one hundred forty billion, one hundred one million, five thousand, thirty-two".