34001020221 has 48 divisors (see below), whose sum is σ = 57431261184. Its totient is φ = 17491136256.

The previous prime is 34001020213. The next prime is 34001020271. The reversal of 34001020221 is 12202010043.

It is not a de Polignac number, because 34001020221 - 2³ = 34001020213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34001020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001020211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17796 + ... + 261378.

It is an arithmetic number, because the mean of its divisors is an integer number (1196484608).

Almost surely, 2^34001020221 is an apocalyptic number.

It is an amenable number.

34001020221 is a deficient number, since it is larger than the sum of its proper divisors (23430240963).

34001020221 is a wasteful number, since it uses less digits than its factorization.

34001020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243650 (or 243633 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 34001020221 its reverse (12202010043), we get a palindrome (46203030264).

The spelling of 34001020221 in words is "thirty-four billion, one million, twenty thousand, two hundred twenty-one".