10101147792409 has 2 divisors, whose sum is σ = 10101147792410. Its totient is φ = 10101147792408.

The previous prime is 10101147792401. The next prime is 10101147792523. The reversal of 10101147792409 is 90429774110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9767125057600 + 334022734809 = 3125240^2 + 577947^2 .

It is an emirp because it is prime and its reverse (90429774110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101147792409 - 2³ = 10101147792401 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101147792401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050573896204 + 5050573896205.

It is an arithmetic number, because the mean of its divisors is an integer number (5050573896205).

Almost surely, 2^{10101147792409} is an apocalyptic number.

It is an amenable number.

10101147792409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101147792409 is an equidigital number, since it uses as much as digits as its factorization.

10101147792409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 127008, while the sum is 46.

The spelling of 10101147792409 in words is "ten trillion, one hundred one billion, one hundred forty-seven million, seven hundred ninety-two thousand, four hundred nine".