110001001721400 has 288 divisors, whose sum is σ = 375627644140320. Its totient is φ = 28842903936000.

The previous prime is 110001001721399. The next prime is 110001001721419. The reversal of 110001001721400 is 4127100100011.

It is a super-2 number, since 2×110001001721400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46515610 + ... + 48823190.

It is an arithmetic number, because the mean of its divisors is an integer number (1304262653265).

Almost surely, 2^{110001001721400} is an apocalyptic number.

110001001721400 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 110001001721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187813822070160).

110001001721400 is an abundant number, since it is smaller than the sum of its proper divisors (265626642418920).

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

110001001721400 is a wasteful number, since it uses less digits than its factorization.

110001001721400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308047 (or 2308035 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 110001001721400 its reverse (4127100100011), we get a palindrome (114128101821411).

The spelling of 110001001721400 in words is "one hundred ten trillion, one billion, one million, seven hundred twenty-one thousand, four hundred".