34101100215 has 96 divisors (see below), whose sum is σ = 73835414016. Its totient is φ = 14175025920.

The previous prime is 34101100177. The next prime is 34101100303. The reversal of 34101100215 is 51200110143.

34101100215 is a `hidden beast` number, since 341 + 0 + 110 + 0 + 215 = 666.

It is not a de Polignac number, because 34101100215 - 2⁶ = 34101100151 is a prime.

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, 212220 + ... + 336510.

It is an arithmetic number, because the mean of its divisors is an integer number (769118896).

Almost surely, 2^34101100215 is an apocalyptic number.

34101100215 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34101100215 is an abundant number, since it is smaller than the sum of its proper divisors (39734313801).

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

34101100215 is a wasteful number, since it uses less digits than its factorization.

34101100215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124389 (or 124386 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 34101100215 its reverse (51200110143), we get a palindrome (85301210358).

The spelling of 34101100215 in words is "thirty-four billion, one hundred one million, one hundred thousand, two hundred fifteen".