10202134144 has 32 divisors (see below), whose sum is σ = 20329979040. Its totient is φ = 5099708160.

The previous prime is 10202134121. The next prime is 10202134171. The reversal of 10202134144 is 44143120201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10202134144² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 615307 + ... + 631669.

It is an arithmetic number, because the mean of its divisors is an integer number (635311845).

Almost surely, 2^10202134144 is an apocalyptic number.

It is an amenable number.

10202134144 is a deficient number, since it is larger than the sum of its proper divisors (10127844896).

10202134144 is an equidigital number, since it uses as much as digits as its factorization.

10202134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21248 (or 21236 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10202134144 its reverse (44143120201), we get a palindrome (54345254345).

The spelling of 10202134144 in words is "ten billion, two hundred two million, one hundred thirty-four thousand, one hundred forty-four".