34221013312101 has 32 divisors (see below), whose sum is σ = 57204683136000. Its totient is φ = 17677836065280.

The previous prime is 34221013312061. The next prime is 34221013312103. The reversal of 34221013312101 is 10121331012243.

It is not a de Polignac number, because 34221013312101 - 2⁷ = 34221013311973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34221013312103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413765676 + ... + 413848373.

It is an arithmetic number, because the mean of its divisors is an integer number (1787646348000).

Almost surely, 2^{34221013312101} is an apocalyptic number.

It is an amenable number.

34221013312101 is a deficient number, since it is larger than the sum of its proper divisors (22983669823899).

34221013312101 is a wasteful number, since it uses less digits than its factorization.

34221013312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827614249.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 34221013312101 its reverse (10121331012243), we get a palindrome (44342344324344).

The spelling of 34221013312101 in words is "thirty-four trillion, two hundred twenty-one billion, thirteen million, three hundred twelve thousand, one hundred one".