101356052563 has 16 divisors (see below), whose sum is σ = 109974140640. Its totient is φ = 93034700800.

The previous prime is 101356052557. The next prime is 101356052587. The reversal of 101356052563 is 365250653101.

It is a cyclic number.

It is not a de Polignac number, because 101356052563 - 2¹³ = 101356044371 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101356352563) 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 15 ways as a sum of consecutive naturals, for example, 2095668 + ... + 2143486.

It is an arithmetic number, because the mean of its divisors is an integer number (6873383790).

Almost surely, 2^101356052563 is an apocalyptic number.

101356052563 is a deficient number, since it is larger than the sum of its proper divisors (8618088077).

101356052563 is a wasteful number, since it uses less digits than its factorization.

101356052563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50918.

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 101356052563 in words is "one hundred one billion, three hundred fifty-six million, fifty-two thousand, five hundred sixty-three".