1101001000657 has 2 divisors, whose sum is σ = 1101001000658. Its totient is φ = 1101001000656.

The previous prime is 1101001000613. The next prime is 1101001000681. The reversal of 1101001000657 is 7560001001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 958057270416 + 142943730241 = 978804^2 + 378079^2 .

It is an emirp because it is prime and its reverse (7560001001011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1101001000657 - 2¹¹ = 1101000998609 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101001007657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550500500328 + 550500500329.

It is an arithmetic number, because the mean of its divisors is an integer number (550500500329).

Almost surely, 2^{1101001000657} is an apocalyptic number.

It is an amenable number.

1101001000657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101001000657 is an equidigital number, since it uses as much as digits as its factorization.

1101001000657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 22.

Adding to 1101001000657 its reverse (7560001001011), we get a palindrome (8661002001668).

The spelling of 1101001000657 in words is "one trillion, one hundred one billion, one million, six hundred fifty-seven", and thus it is an aban number.