10010002778361 has 32 divisors (see below), whose sum is σ = 15309532707840. Its totient is φ = 6457423507200.

The previous prime is 10010002778357. The next prime is 10010002778411. The reversal of 10010002778361 is 16387720001001.

10010002778361 is a `hidden beast` number, since 10 + 0 + 10 + 0 + 0 + 277 + 8 + 361 = 666.

It is not a de Polignac number, because 10010002778361 - 2² = 10010002778357 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10010002778351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7891201 + ... + 9071441.

It is an arithmetic number, because the mean of its divisors is an integer number (478422897120).

Almost surely, 2^{10010002778361} is an apocalyptic number.

It is an amenable number.

10010002778361 is a deficient number, since it is larger than the sum of its proper divisors (5299529929479).

10010002778361 is a wasteful number, since it uses less digits than its factorization.

10010002778361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190414 (or 1190408 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 10010002778361 its reverse (16387720001001), we get a palindrome (26397722779362).

The spelling of 10010002778361 in words is "ten trillion, ten billion, two million, seven hundred seventy-eight thousand, three hundred sixty-one".