10211101099965 has 48 divisors (see below), whose sum is σ = 18034375086000. Its totient is φ = 5342816194560.

The previous prime is 10211101099961. The next prime is 10211101099999. The reversal of 10211101099965 is 56999010111201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16988776281 + 10194112323684 = 130341^2 + 3192822^2 .

It is not a de Polignac number, because 10211101099965 - 2² = 10211101099961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10211101099965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211101099961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38363661 + ... + 38628909.

It is an arithmetic number, because the mean of its divisors is an integer number (375716147625).

Almost surely, 2^{10211101099965} is an apocalyptic number.

10211101099965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10211101099965 is a deficient number, since it is larger than the sum of its proper divisors (7823273986035).

10211101099965 is a wasteful number, since it uses less digits than its factorization.

10211101099965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281454 (or 281451 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 45.

The spelling of 10211101099965 in words is "ten trillion, two hundred eleven billion, one hundred one million, ninety-nine thousand, nine hundred sixty-five".