10102102032 has 160 divisors (see below), whose sum is σ = 30219208704. Its totient is φ = 2874009600.

The previous prime is 10102102019. The next prime is 10102102033. The reversal of 10102102032 is 23020120101.

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 = 10102101999 and 10102102017.

It is not an unprimeable number, because it can be changed into a prime (10102102033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4370157 + ... + 4372467.

Almost surely, 2^10102102032 is an apocalyptic number.

10102102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15109604352).

10102102032 is an abundant number, since it is smaller than the sum of its proper divisors (20117106672).

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

10102102032 is a wasteful number, since it uses less digits than its factorization.

10102102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2831 counting only the distinct ones).

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

Adding to 10102102032 its reverse (23020120101), we get a palindrome (33122222133).

The spelling of 10102102032 in words is "ten billion, one hundred two million, one hundred two thousand, thirty-two".