34532100222102 has 384 divisors, whose sum is σ = 94383132180480. Its totient is φ = 8902734624000.

The previous prime is 34532100222013. The next prime is 34532100222131. The reversal of 34532100222102 is 20122200123543.

34532100222102 is a `hidden beast` number, since 3 + 4 + 532 + 1 + 0 + 0 + 2 + 22 + 102 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3230010577 + ... + 3230021267.

It is an arithmetic number, because the mean of its divisors is an integer number (245789406720).

Almost surely, 2^{34532100222102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34532100222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47191566090240).

34532100222102 is an abundant number, since it is smaller than the sum of its proper divisors (59851031958378).

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

34532100222102 is a wasteful number, since it uses less digits than its factorization.

34532100222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11437 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34532100222102 its reverse (20122200123543), we get a palindrome (54654300345645).

The spelling of 34532100222102 in words is "thirty-four trillion, five hundred thirty-two billion, one hundred million, two hundred twenty-two thousand, one hundred two".