34401012100 has 144 divisors (see below), whose sum is σ = 93612008448. Its totient is φ = 10681781760.

The previous prime is 34401012089. The next prime is 34401012169. The reversal of 34401012100 is 121010443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446637 + ... + 517963.

It is an arithmetic number, because the mean of its divisors is an integer number (650083392).

Almost surely, 2^34401012100 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 34401012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46806004224).

34401012100 is an abundant number, since it is smaller than the sum of its proper divisors (59210996348).

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

34401012100 is a wasteful number, since it uses less digits than its factorization.

34401012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71414 (or 71407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 34401012100 its reverse (121010443), we get a palindrome (34522022543).

The spelling of 34401012100 in words is "thirty-four billion, four hundred one million, twelve thousand, one hundred".