101538630153 has 6 divisors (see below), whose sum is σ = 146666910234. Its totient is φ = 67692420096.

The previous prime is 101538630131. The next prime is 101538630161. The reversal of 101538630153 is 351036835101.

101538630153 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 3 + 8 + 630 + 15 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101536547904 + 2082249 = 318648^2 + 1443^2 .

It is not a de Polignac number, because 101538630153 - 2⁹ = 101538629641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101538630553) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5641035000 + ... + 5641035017.

It is an arithmetic number, because the mean of its divisors is an integer number (24444485039).

Almost surely, 2^101538630153 is an apocalyptic number.

It is an amenable number.

101538630153 is a deficient number, since it is larger than the sum of its proper divisors (45128280081).

101538630153 is a wasteful number, since it uses less digits than its factorization.

101538630153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282070023 (or 11282070020 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 101538630153 in words is "one hundred one billion, five hundred thirty-eight million, six hundred thirty thousand, one hundred fifty-three".