10102034838416 has 10 divisors (see below), whose sum is σ = 19572692499462. Its totient is φ = 5051017419200.

The previous prime is 10102034838407. The next prime is 10102034838449. The reversal of 10102034838416 is 61483843020101.

It can be written as a sum of positive squares in only one way, i.e., 9858595225600 + 243439612816 = 3139840^2 + 493396^2 .

It is a super-2 number, since 2×10102034838416² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 315688588685 + ... + 315688588716.

Almost surely, 2^{10102034838416} is an apocalyptic number.

10102034838416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10102034838416 is a deficient number, since it is larger than the sum of its proper divisors (9470657661046).

10102034838416 is an equidigital number, since it uses as much as digits as its factorization.

10102034838416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631377177409 (or 631377177403 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

Adding to 10102034838416 its reverse (61483843020101), we get a palindrome (71585877858517).

The spelling of 10102034838416 in words is "ten trillion, one hundred two billion, thirty-four million, eight hundred thirty-eight thousand, four hundred sixteen".