101110414121344 has 32 divisors (see below), whose sum is σ = 202666675586040. Its totient is φ = 50245052405760.

The previous prime is 101110414121323. The next prime is 101110414121357. The reversal of 101110414121344 is 443121414011101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2423062297 + ... + 2423104024.

Almost surely, 2^{101110414121344} is an apocalyptic number.

It is an amenable number.

101110414121344 is an abundant number, since it is smaller than the sum of its proper divisors (101556261464696).

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

101110414121344 is an equidigital number, since it uses as much as digits as its factorization.

101110414121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846166498 (or 4846166486 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 101110414121344 its reverse (443121414011101), we get a palindrome (544231828132445).

The spelling of 101110414121344 in words is "one hundred one trillion, one hundred ten billion, four hundred fourteen million, one hundred twenty-one thousand, three hundred forty-four".