10102414100 has 72 divisors (see below), whose sum is σ = 22364193600. Its totient is φ = 3960126720.

The previous prime is 10102414073. The next prime is 10102414141. The reversal of 10102414100 is 141420101.

It is a congruent number.

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, 1329512 + ... + 1337088.

It is an arithmetic number, because the mean of its divisors is an integer number (310613800).

Almost surely, 2^10102414100 is an apocalyptic number.

10102414100 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 10102414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182096800).

10102414100 is an abundant number, since it is smaller than the sum of its proper divisors (12261779500).

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

10102414100 is a wasteful number, since it uses less digits than its factorization.

10102414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102414100 its reverse (141420101), we get a palindrome (10243834201).

The spelling of 10102414100 in words is "ten billion, one hundred two million, four hundred fourteen thousand, one hundred".