10214134224 has 80 divisors (see below), whose sum is σ = 30167354880. Its totient is φ = 2917226880.

The previous prime is 10214134213. The next prime is 10214134277. The reversal of 10214134224 is 42243141201.

It is a Cunningham number, because it is equal to 101065²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10214134194 and 10214134203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1411287 + ... + 1418505.

It is an arithmetic number, because the mean of its divisors is an integer number (377091936).

Almost surely, 2^10214134224 is an apocalyptic number.

10214134224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10214134224 is an abundant number, since it is smaller than the sum of its proper divisors (19953220656).

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

10214134224 is a wasteful number, since it uses less digits than its factorization.

10214134224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10214134224 its reverse (42243141201), we get a palindrome (52457275425).

The spelling of 10214134224 in words is "ten billion, two hundred fourteen million, one hundred thirty-four thousand, two hundred twenty-four".