10102012032 has 64 divisors (see below), whose sum is σ = 30666830400. Its totient is φ = 2886288384.

The previous prime is 10102012027. The next prime is 10102012043. The reversal of 10102012032 is 23021020101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10102011999 and 10102012017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1876407 + ... + 1881782.

It is an arithmetic number, because the mean of its divisors is an integer number (479169225).

Almost surely, 2^10102012032 is an apocalyptic number.

10102012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102012032 is an abundant number, since it is smaller than the sum of its proper divisors (20564818368).

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

10102012032 is an equidigital number, since it uses as much as digits as its factorization.

10102012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758213 (or 3758201 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10102012032 its reverse (23021020101), we get a palindrome (33123032133).

The spelling of 10102012032 in words is "ten billion, one hundred two million, twelve thousand, thirty-two".