10101298705201 has 12 divisors (see below), whose sum is σ = 11285098114612. Its totient is φ = 9032457852000.

The previous prime is 10101298705193. The next prime is 10101298705207. The reversal of 10101298705201 is 10250789210101.

It can be written as a sum of positive squares in 2 ways, for example, as 2930177074176 + 7171121631025 = 1711776^2 + 2677895^2 .

It is not a de Polignac number, because 10101298705201 - 2³ = 10101298705193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101298705207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684269730 + ... + 684284491.

Almost surely, 2^{10101298705201} is an apocalyptic number.

10101298705201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101298705201 is a deficient number, since it is larger than the sum of its proper divisors (1183799409411).

10101298705201 is a wasteful number, since it uses less digits than its factorization.

10101298705201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368554304 (or 1368554293 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 37.

The spelling of 10101298705201 in words is "ten trillion, one hundred one billion, two hundred ninety-eight million, seven hundred five thousand, two hundred one".