1000101011957 has 2 divisors, whose sum is σ = 1000101011958. Its totient is φ = 1000101011956.

The previous prime is 1000101011927. The next prime is 1000101012073. The reversal of 1000101011957 is 7591101010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 703788444241 + 296312567716 = 838921^2 + 544346^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101011957 - 2¹⁴ = 1000100995573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000101011927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050505978 + 500050505979.

It is an arithmetic number, because the mean of its divisors is an integer number (500050505979).

Almost surely, 2^{1000101011957} is an apocalyptic number.

It is an amenable number.

1000101011957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101011957 is an equidigital number, since it uses as much as digits as its factorization.

1000101011957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 26.

Adding to 1000101011957 its reverse (7591101010001), we get a palindrome (8591202021958).

The spelling of 1000101011957 in words is "one trillion, one hundred one million, eleven thousand, nine hundred fifty-seven".