110221330010400 has 864 divisors, whose sum is σ = 459629213097600. Its totient is φ = 24318340300800.

The previous prime is 110221330010369. The next prime is 110221330010423. The reversal of 110221330010400 is 4010033122011.

110221330010400 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 3 + 30 + 0 + 10 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7569619120 + ... + 7569633680.

It is an arithmetic number, because the mean of its divisors is an integer number (531978255900).

Almost surely, 2^{110221330010400} is an apocalyptic number.

110221330010400 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 110221330010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229814606548800).

110221330010400 is an abundant number, since it is smaller than the sum of its proper divisors (349407883087200).

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

110221330010400 is a wasteful number, since it uses less digits than its factorization.

110221330010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19802 (or 19786 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110221330010400 its reverse (4010033122011), we get a palindrome (114231363132411).

The spelling of 110221330010400 in words is "one hundred ten trillion, two hundred twenty-one billion, three hundred thirty million, ten thousand, four hundred".