101009066642447 has 32 divisors (see below), whose sum is σ = 106377360735744. Its totient is φ = 95825379865600.

The previous prime is 101009066642431. The next prime is 101009066642521. The reversal of 101009066642447 is 744246660900101.

It is a cyclic number.

It is not a de Polignac number, because 101009066642447 - 2⁴ = 101009066642431 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101009066642395 and 101009066642404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101009066642147) 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, 69990983 + ... + 71419575.

It is an arithmetic number, because the mean of its divisors is an integer number (3324292522992).

Almost surely, 2^{101009066642447} is an apocalyptic number.

101009066642447 is a deficient number, since it is larger than the sum of its proper divisors (5368294093297).

101009066642447 is a wasteful number, since it uses less digits than its factorization.

101009066642447 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429039.

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 101009066642447 in words is "one hundred one trillion, nine billion, sixty-six million, six hundred forty-two thousand, four hundred forty-seven".