101001010008961 has 2 divisors, whose sum is σ = 101001010008962. Its totient is φ = 101001010008960.

The previous prime is 101001010008959. The next prime is 101001010009001. The reversal of 101001010008961 is 169800010100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99349062760000 + 1651947248961 = 9967400^2 + 1285281^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001010008961 - 2¹ = 101001010008959 is a prime.

Together with 101001010008959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101001010008761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505004480 + 50500505004481.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505004481).

Almost surely, 2^{101001010008961} is an apocalyptic number.

It is an amenable number.

101001010008961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001010008961 is an equidigital number, since it uses as much as digits as its factorization.

101001010008961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 28.

The spelling of 101001010008961 in words is "one hundred one trillion, one billion, ten million, eight thousand, nine hundred sixty-one".