10102410032 has 120 divisors (see below), whose sum is σ = 23467456320. Its totient is φ = 4184294400.

The previous prime is 10102410007. The next prime is 10102410041. The reversal of 10102410032 is 23001420101.

It is a junction number, because it is equal to n+sod(n) for n = 10102409989 and 10102410016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1985732 + ... + 1990812.

It is an arithmetic number, because the mean of its divisors is an integer number (195562136).

Almost surely, 2^10102410032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102410032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733728160).

10102410032 is an abundant number, since it is smaller than the sum of its proper divisors (13365046288).

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

10102410032 is a wasteful number, since it uses less digits than its factorization.

10102410032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10102410032 its reverse (23001420101), we get a palindrome (33103830133).

The spelling of 10102410032 in words is "ten billion, one hundred two million, four hundred ten thousand, thirty-two".