110101002201120 has 192 divisors, whose sum is σ = 396667816796160. Its totient is φ = 25146628512768.

The previous prime is 110101002201041. The next prime is 110101002201121. The reversal of 110101002201120 is 21102200101011.

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 = 110101002201096 and 110101002201105.

It is not an unprimeable number, because it can be changed into a prime (110101002201121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8196040 + ... + 16952199.

It is an arithmetic number, because the mean of its divisors is an integer number (2065978212480).

Almost surely, 2^{110101002201120} is an apocalyptic number.

110101002201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101002201120 is an abundant number, since it is smaller than the sum of its proper divisors (286566814595040).

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

110101002201120 is a wasteful number, since it uses less digits than its factorization.

110101002201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25149567 (or 25149559 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110101002201120 its reverse (21102200101011), we get a palindrome (131203202302131).

The spelling of 110101002201120 in words is "one hundred ten trillion, one hundred one billion, two million, two hundred one thousand, one hundred twenty".