34125501102 has 96 divisors (see below), whose sum is σ = 86721788160. Its totient is φ = 8852497920.

The previous prime is 34125501101. The next prime is 34125501103. The reversal of 34125501102 is 20110552143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34125501101) and next prime (34125501103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34125501101) 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 47 ways as a sum of consecutive naturals, for example, 2707038 + ... + 2719614.

It is an arithmetic number, because the mean of its divisors is an integer number (903351960).

Almost surely, 2^34125501102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34125501102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43360894080).

34125501102 is an abundant number, since it is smaller than the sum of its proper divisors (52596287058).

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

34125501102 is a wasteful number, since it uses less digits than its factorization.

34125501102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446 (or 13439 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 34125501102 in words is "thirty-four billion, one hundred twenty-five million, five hundred one thousand, one hundred two".