110100021001320 has 256 divisors, whose sum is σ = 393944145408000. Its totient is φ = 24068750340096.

The previous prime is 110100021001291. The next prime is 110100021001351. The reversal of 110100021001320 is 23100120001011.

It is a super-2 number, since 2×110100021001320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110100021001296 and 110100021001305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167543551 + ... + 168199409.

It is an arithmetic number, because the mean of its divisors is an integer number (1538844318000).

Almost surely, 2^{110100021001320} is an apocalyptic number.

110100021001320 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 110100021001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196972072704000).

110100021001320 is an abundant number, since it is smaller than the sum of its proper divisors (283844124406680).

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

110100021001320 is a wasteful number, since it uses less digits than its factorization.

110100021001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664592 (or 664588 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 110100021001320 its reverse (23100120001011), we get a palindrome (133200141002331).

The spelling of 110100021001320 in words is "one hundred ten trillion, one hundred billion, twenty-one million, one thousand, three hundred twenty".