34022221110020 has 96 divisors (see below), whose sum is σ = 86205916935936. Its totient is φ = 11111396313600.

The previous prime is 34022221110013. The next prime is 34022221110029. The reversal of 34022221110020 is 2001112222043.

It is a super-3 number, since 3×34022221110020³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34022221109974 and 34022221110001.

It is not an unprimeable number, because it can be changed into a prime (34022221110029) 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, 160649336 + ... + 160860975.

It is an arithmetic number, because the mean of its divisors is an integer number (897978301416).

Almost surely, 2^{34022221110020} is an apocalyptic number.

It is an amenable number.

34022221110020 is an abundant number, since it is smaller than the sum of its proper divisors (52183695825916).

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

34022221110020 is a wasteful number, since it uses less digits than its factorization.

34022221110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321510381 (or 321510379 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34022221110020 its reverse (2001112222043), we get a palindrome (36023333332063).

The spelling of 34022221110020 in words is "thirty-four trillion, twenty-two billion, two hundred twenty-one million, one hundred ten thousand, twenty".