10214102140 has 48 divisors (see below), whose sum is σ = 23406735744. Its totient is φ = 3713083200.

The previous prime is 10214102083. The next prime is 10214102141. The reversal of 10214102140 is 4120141201.

It is a happy number.

10214102140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214102141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118995 + ... + 1128085.

It is an arithmetic number, because the mean of its divisors is an integer number (487640328).

Almost surely, 2^10214102140 is an apocalyptic number.

10214102140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214102140 is an abundant number, since it is smaller than the sum of its proper divisors (13192633604).

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

10214102140 is a wasteful number, since it uses less digits than its factorization.

10214102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14218 (or 14216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10214102140 its reverse (4120141201), we get a palindrome (14334243341).

The spelling of 10214102140 in words is "ten billion, two hundred fourteen million, one hundred two thousand, one hundred forty".