10302140100 has 288 divisors, whose sum is σ = 37019852800. Its totient is φ = 2158617600.

The previous prime is 10302140099. The next prime is 10302140129. The reversal of 10302140100 is 104120301.

It is a happy number.

It is a super-2 number, since 2×10302140100² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1232736 + ... + 1241064.

Almost surely, 2^10302140100 is an apocalyptic number.

10302140100 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 10302140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18509926400).

10302140100 is an abundant number, since it is smaller than the sum of its proper divisors (26717712700).

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

10302140100 is a wasteful number, since it uses less digits than its factorization.

10302140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403 (or 8396 counting only the distinct ones).

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

Adding to 10302140100 its reverse (104120301), we get a palindrome (10406260401).

The spelling of 10302140100 in words is "ten billion, three hundred two million, one hundred forty thousand, one hundred".