101803222400 has 384 divisors, whose sum is σ = 283887901440. Its totient is φ = 35752550400.

The previous prime is 101803222373. The next prime is 101803222421. The reversal of 101803222400 is 4222308101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155900474 + ... + 155901126.

It is an arithmetic number, because the mean of its divisors is an integer number (739291410).

Almost surely, 2^101803222400 is an apocalyptic number.

101803222400 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 101803222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141943950720).

101803222400 is an abundant number, since it is smaller than the sum of its proper divisors (182084679040).

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

101803222400 is a wasteful number, since it uses less digits than its factorization.

101803222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The spelling of 101803222400 in words is "one hundred one billion, eight hundred three million, two hundred twenty-two thousand, four hundred".