100953665801 has 2 divisors, whose sum is σ = 100953665802. Its totient is φ = 100953665800.

The previous prime is 100953665783. The next prime is 100953665819. The reversal of 100953665801 is 108566359001.

It is a balanced prime because it is at equal distance from previous prime (100953665783) and next prime (100953665819).

It can be written as a sum of positive squares in only one way, i.e., 100583488201 + 370177600 = 317149^2 + 19240^2 .

It is a cyclic number.

It is not a de Polignac number, because 100953665801 - 2¹⁴ = 100953649417 is a prime.

It is not a weakly prime, because it can be changed into another prime (100953665821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50476832900 + 50476832901.

It is an arithmetic number, because the mean of its divisors is an integer number (50476832901).

Almost surely, 2^100953665801 is an apocalyptic number.

It is an amenable number.

100953665801 is a deficient number, since it is larger than the sum of its proper divisors (1).

100953665801 is an equidigital number, since it uses as much as digits as its factorization.

100953665801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 100953665801 in words is "one hundred billion, nine hundred fifty-three million, six hundred sixty-five thousand, eight hundred one".