10101607459969 has 8 divisors (see below), whose sum is σ = 10376983522728. Its totient is φ = 9826355589120.

The previous prime is 10101607459943. The next prime is 10101607460029. The reversal of 10101607459969 is 96995470610101.

It can be written as a sum of positive squares in 4 ways, for example, as 4727036930625 + 5374570529344 = 2174175^2 + 2318312^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101607459969 - 2¹⁵ = 10101607427201 is a prime.

It is a super-2 number, since 2×10101607459969² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101607459919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30883072 + ... + 31208449.

It is an arithmetic number, because the mean of its divisors is an integer number (1297122940341).

Almost surely, 2^{10101607459969} is an apocalyptic number.

It is an amenable number.

10101607459969 is a deficient number, since it is larger than the sum of its proper divisors (275376062759).

10101607459969 is an equidigital number, since it uses as much as digits as its factorization.

10101607459969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62095955.

The product of its (nonzero) digits is 3674160, while the sum is 58.

The spelling of 10101607459969 in words is "ten trillion, one hundred one billion, six hundred seven million, four hundred fifty-nine thousand, nine hundred sixty-nine".