101654140368272 has 40 divisors (see below), whose sum is σ = 198650250748800. Its totient is φ = 50391433242752.

The previous prime is 101654140368251. The next prime is 101654140368281. The reversal of 101654140368272 is 272863041456101.

It is a happy number.

101654140368272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101654140368272³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101654140368272.

It is an unprimeable number.

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, 57685247 + ... + 59421342.

It is an arithmetic number, because the mean of its divisors is an integer number (4966256268720).

Almost surely, 2^{101654140368272} is an apocalyptic number.

It is an amenable number.

101654140368272 is a deficient number, since it is larger than the sum of its proper divisors (96996110380528).

101654140368272 is a wasteful number, since it uses less digits than its factorization.

101654140368272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117107063 (or 117107057 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 101654140368272 in words is "one hundred one trillion, six hundred fifty-four billion, one hundred forty million, three hundred sixty-eight thousand, two hundred seventy-two".