34201322200122 has 128 divisors (see below), whose sum is σ = 86525834784768. Its totient is φ = 8753938636800.

The previous prime is 34201322200091. The next prime is 34201322200147. The reversal of 34201322200122 is 22100222310243.

It is a junction number, because it is equal to n+sod(n) for n = 34201322200092 and 34201322200101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65244538 + ... + 65766650.

It is an arithmetic number, because the mean of its divisors is an integer number (675983084256).

Almost surely, 2^{34201322200122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34201322200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43262917392384).

34201322200122 is an abundant number, since it is smaller than the sum of its proper divisors (52324512584646).

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

34201322200122 is a wasteful number, since it uses less digits than its factorization.

34201322200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524204.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34201322200122 its reverse (22100222310243), we get a palindrome (56301544510365).

The spelling of 34201322200122 in words is "thirty-four trillion, two hundred one billion, three hundred twenty-two million, two hundred thousand, one hundred twenty-two".