10101111205344 has 48 divisors (see below), whose sum is σ = 27162134410320. Its totient is φ = 3284914211840.

The previous prime is 10101111205319. The next prime is 10101111205379. The reversal of 10101111205344 is 44350211110101.

10101111205344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10101111205344² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1283165679 + ... + 1283173550.

It is an arithmetic number, because the mean of its divisors is an integer number (565877800215).

Almost surely, 2^{10101111205344} is an apocalyptic number.

It is an amenable number.

10101111205344 is an abundant number, since it is smaller than the sum of its proper divisors (17061023204976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101111205344 is a wasteful number, since it uses less digits than its factorization.

10101111205344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566339283 (or 2566339275 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 10101111205344 its reverse (44350211110101), we get a palindrome (54451322315445).

The spelling of 10101111205344 in words is "ten trillion, one hundred one billion, one hundred eleven million, two hundred five thousand, three hundred forty-four".