101472037728409 has 2 divisors, whose sum is σ = 101472037728410. Its totient is φ = 101472037728408.

The previous prime is 101472037728377. The next prime is 101472037728419. The reversal of 101472037728409 is 904827730274101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98857581571225 + 2614456157184 = 9942715^2 + 1616928^2 .

It is an emirp because it is prime and its reverse (904827730274101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101472037728409 - 2⁵ = 101472037728377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101472037728409.

It is not a weakly prime, because it can be changed into another prime (101472037728419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50736018864204 + 50736018864205.

It is an arithmetic number, because the mean of its divisors is an integer number (50736018864205).

Almost surely, 2^{101472037728409} is an apocalyptic number.

It is an amenable number.

101472037728409 is a deficient number, since it is larger than the sum of its proper divisors (1).

101472037728409 is an equidigital number, since it uses as much as digits as its factorization.

101472037728409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 101472037728409 in words is "one hundred one trillion, four hundred seventy-two billion, thirty-seven million, seven hundred twenty-eight thousand, four hundred nine".