10102314124 has 72 divisors (see below), whose sum is σ = 22038110640. Its totient is φ = 4025677824.

The previous prime is 10102314119. The next prime is 10102314151. The reversal of 10102314124 is 42141320101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258292 + ... + 294820.

It is an arithmetic number, because the mean of its divisors is an integer number (306084870).

Almost surely, 2^10102314124 is an apocalyptic number.

10102314124 is a gapful number since it is divisible by the number (14) 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 10102314124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11019055320).

10102314124 is an abundant number, since it is smaller than the sum of its proper divisors (11935796516).

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

10102314124 is a wasteful number, since it uses less digits than its factorization.

10102314124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36647 (or 36638 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10102314124 its reverse (42141320101), we get a palindrome (52243634225).

The spelling of 10102314124 in words is "ten billion, one hundred two million, three hundred fourteen thousand, one hundred twenty-four".