35223162052100 has 288 divisors, whose sum is σ = 87883443849600. Its totient is φ = 12134707200000.

The previous prime is 35223162052093. The next prime is 35223162052121. The reversal of 35223162052100 is 125026132253.

It is a super-2 number, since 2×35223162052100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 815310500 + ... + 815353700.

It is an arithmetic number, because the mean of its divisors is an integer number (305150846700).

Almost surely, 2^{35223162052100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35223162052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43941721924800).

35223162052100 is an abundant number, since it is smaller than the sum of its proper divisors (52660281797500).

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

35223162052100 is a wasteful number, since it uses less digits than its factorization.

35223162052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43735 (or 43728 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 35223162052100 its reverse (125026132253), we get a palindrome (35348188184353).

The spelling of 35223162052100 in words is "thirty-five trillion, two hundred twenty-three billion, one hundred sixty-two million, fifty-two thousand, one hundred".