101573820742755 has 32 divisors (see below), whose sum is σ = 164996645299200. Its totient is φ = 53347045542912.

The previous prime is 101573820742753. The next prime is 101573820742813. The reversal of 101573820742755 is 557247028375101.

It is not a de Polignac number, because 101573820742755 - 2¹ = 101573820742753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101573820742695 and 101573820742704.

It is not an unprimeable number, because it can be changed into a prime (101573820742753) 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, 13067470 + ... + 19336659.

It is an arithmetic number, because the mean of its divisors is an integer number (5156145165600).

Almost surely, 2^{101573820742755} is an apocalyptic number.

101573820742755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101573820742755 is a deficient number, since it is larger than the sum of its proper divisors (63422824556445).

101573820742755 is a wasteful number, since it uses less digits than its factorization.

101573820742755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32407323.

The product of its (nonzero) digits is 16464000, while the sum is 57.

The spelling of 101573820742755 in words is "one hundred one trillion, five hundred seventy-three billion, eight hundred twenty million, seven hundred forty-two thousand, seven hundred fifty-five".