34101102144 has 112 divisors (see below), whose sum is σ = 90811551168. Its totient is φ = 11293513728.

The previous prime is 34101102137. The next prime is 34101102151. The reversal of 34101102144 is 44120110143.

It is an interprime number because it is at equal distance from previous prime (34101102137) and next prime (34101102151).

It is a self number, because there is not a number n which added to its sum of digits gives 34101102144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24836242 + ... + 24837614.

Almost surely, 2^34101102144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34101102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405775584).

34101102144 is an abundant number, since it is smaller than the sum of its proper divisors (56710449024).

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

34101102144 is a wasteful number, since it uses less digits than its factorization.

34101102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 34101102144 its reverse (44120110143), we get a palindrome (78221212287).

The spelling of 34101102144 in words is "thirty-four billion, one hundred one million, one hundred two thousand, one hundred forty-four".