34441211102100 has 288 divisors, whose sum is σ = 111808914104832. Its totient is φ = 8111949120000.

The previous prime is 34441211102071. The next prime is 34441211102141. The reversal of 34441211102100 is 120111214443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84166995 + ... + 84575205.

Almost surely, 2^{34441211102100} is an apocalyptic number.

34441211102100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34441211102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55904457052416).

34441211102100 is an abundant number, since it is smaller than the sum of its proper divisors (77367703002732).

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

34441211102100 is a wasteful number, since it uses less digits than its factorization.

34441211102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408967 (or 408960 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 34441211102100 its reverse (120111214443), we get a palindrome (34561322316543).

The spelling of 34441211102100 in words is "thirty-four trillion, four hundred forty-one billion, two hundred eleven million, one hundred two thousand, one hundred".