13202155220100 has 576 divisors, whose sum is σ = 50509159206912. Its totient is φ = 2581007616000.

The previous prime is 13202155220099. The next prime is 13202155220143. The reversal of 13202155220100 is 102255120231.

It is a super-2 number, since 2×13202155220100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32205622 + ... + 32612978.

It is an arithmetic number, because the mean of its divisors is an integer number (87689512512).

Almost surely, 2^{13202155220100} is an apocalyptic number.

13202155220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202155220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25254579603456).

13202155220100 is an abundant number, since it is smaller than the sum of its proper divisors (37307003986812).

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

13202155220100 is a wasteful number, since it uses less digits than its factorization.

13202155220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407476 (or 407469 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 13202155220100 in words is "thirteen trillion, two hundred two billion, one hundred fifty-five million, two hundred twenty thousand, one hundred".