101633430417136 has 40 divisors (see below), whose sum is σ = 198956842040880. Its totient is φ = 50289792559104.

The previous prime is 101633430417133. The next prime is 101633430417173. The reversal of 101633430417136 is 631714034336101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101633430417092 and 101633430417101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101633430417133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23822490 + ... + 27762886.

It is an arithmetic number, because the mean of its divisors is an integer number (4973921051022).

Almost surely, 2^{101633430417136} is an apocalyptic number.

101633430417136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101633430417136 is a deficient number, since it is larger than the sum of its proper divisors (97323411623744).

101633430417136 is a wasteful number, since it uses less digits than its factorization.

101633430417136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957121 (or 3957115 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The spelling of 101633430417136 in words is "one hundred one trillion, six hundred thirty-three billion, four hundred thirty million, four hundred seventeen thousand, one hundred thirty-six".