220101362353400 has 384 divisors, whose sum is σ = 576495259084800. Its totient is φ = 77458180800000.

The previous prime is 220101362353363. The next prime is 220101362353463. The reversal of 220101362353400 is 4353263101022.

It is a congruent number.

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, 8166709925 + ... + 8166736875.

It is an arithmetic number, because the mean of its divisors is an integer number (1501289737200).

Almost surely, 2^{220101362353400} is an apocalyptic number.

220101362353400 is a gapful number since it is divisible by the number (20) 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 220101362353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288247629542400).

220101362353400 is an abundant number, since it is smaller than the sum of its proper divisors (356393896731400).

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

220101362353400 is a wasteful number, since it uses less digits than its factorization.

220101362353400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27811 (or 27802 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 220101362353400 in words is "two hundred twenty trillion, one hundred one billion, three hundred sixty-two million, three hundred fifty-three thousand, four hundred".