10302132100 has 144 divisors (see below), whose sum is σ = 24841410048. Its totient is φ = 3684533760.

The previous prime is 10302132079. The next prime is 10302132109. The reversal of 10302132100 is 123120301.

It is a super-2 number, since 2×10302132100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10302132109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6292482 + ... + 6294118.

It is an arithmetic number, because the mean of its divisors is an integer number (172509792).

Almost surely, 2^10302132100 is an apocalyptic number.

10302132100 is a gapful number since it is divisible by the number (10) 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 10302132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420705024).

10302132100 is an abundant number, since it is smaller than the sum of its proper divisors (14539277948).

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

10302132100 is a wasteful number, since it uses less digits than its factorization.

10302132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10302132100 its reverse (123120301), we get a palindrome (10425252401).

The spelling of 10302132100 in words is "ten billion, three hundred two million, one hundred thirty-two thousand, one hundred".