101303158112809 has 9 divisors (see below), whose sum is σ = 101478055718871. Its totient is φ = 101128561477200.

The previous prime is 101303158112747. The next prime is 101303158112831. The reversal of 101303158112809 is 908211851303101.

The square root of 101303158112809 is 10064947.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 85148546394409 + 16154611718400 = 9227597^2 + 4019280^2 .

It is not a de Polignac number, because 101303158112809 - 2¹⁵ = 101303158080041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101303158112209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6049024774 + ... + 6049041520.

It is an arithmetic number, because the mean of its divisors is an integer number (11275339524319).

Almost surely, 2^{101303158112809} is an apocalyptic number.

101303158112809 is the 10064947-th square number.

101303158112809 is the 5032474-th centered octagonal number.

It is an amenable number.

101303158112809 is a deficient number, since it is larger than the sum of its proper divisors (174897606062).

101303158112809 is an frugal number, since it uses more digits than its factorization.

101303158112809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34696 (or 17348 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 43.

The spelling of 101303158112809 in words is "one hundred one trillion, three hundred three billion, one hundred fifty-eight million, one hundred twelve thousand, eight hundred nine".