10138012902216 has 48 divisors (see below), whose sum is σ = 28095655919760. Its totient is φ = 3300748385760.

The previous prime is 10138012902169. The next prime is 10138012902217. The reversal of 10138012902216 is 61220921083101.

10138012902216 is a `hidden beast` number, since 10 + 138 + 0 + 1 + 290 + 221 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10138012902217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1637272890 + ... + 1637279081.

It is an arithmetic number, because the mean of its divisors is an integer number (585326164995).

Almost surely, 2^{10138012902216} is an apocalyptic number.

It is an amenable number.

10138012902216 is an abundant number, since it is smaller than the sum of its proper divisors (17957643017544).

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

10138012902216 is a wasteful number, since it uses less digits than its factorization.

10138012902216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274552026 (or 3274552019 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 10138012902216 its reverse (61220921083101), we get a palindrome (71358933985317).

The spelling of 10138012902216 in words is "ten trillion, one hundred thirty-eight billion, twelve million, nine hundred two thousand, two hundred sixteen".