34441002101 has 24 divisors (see below), whose sum is σ = 38189854080. Its totient is φ = 31035535520.

The previous prime is 34441002073. The next prime is 34441002133. The reversal of 34441002101 is 10120014443.

It is not a de Polignac number, because 34441002101 - 2¹⁴ = 34440985717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441002161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7512656 + ... + 7517238.

It is an arithmetic number, because the mean of its divisors is an integer number (1591243920).

Almost surely, 2^34441002101 is an apocalyptic number.

It is an amenable number.

34441002101 is a deficient number, since it is larger than the sum of its proper divisors (3748851979).

34441002101 is a wasteful number, since it uses less digits than its factorization.

34441002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34441002101 its reverse (10120014443), we get a palindrome (44561016544).

The spelling of 34441002101 in words is "thirty-four billion, four hundred forty-one million, two thousand, one hundred one".