10102134416 has 20 divisors (see below), whose sum is σ = 21352239024. Its totient is φ = 4591879200.

The previous prime is 10102134409. The next prime is 10102134467. The reversal of 10102134416 is 61443120101.

It is a super-2 number, since 2×10102134416² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102134391 and 10102134400.

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 3 ways as a sum of consecutive naturals, for example, 28699070 + ... + 28699421.

Almost surely, 2^10102134416 is an apocalyptic number.

10102134416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10102134416 is an abundant number, since it is smaller than the sum of its proper divisors (11250104608).

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

10102134416 is a wasteful number, since it uses less digits than its factorization.

10102134416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57398510 (or 57398504 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10102134416 its reverse (61443120101), we get a palindrome (71545254517).

The spelling of 10102134416 in words is "ten billion, one hundred two million, one hundred thirty-four thousand, four hundred sixteen".