110201011221120 has 128 divisors (see below), whose sum is σ = 356077582943040. Its totient is φ = 28984375517184.

The previous prime is 110201011221113. The next prime is 110201011221127. The reversal of 110201011221120 is 21122110102011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110201011221113) and next prime (110201011221127).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110201011221120.

It is not an unprimeable number, because it can be changed into a prime (110201011221127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392985594 + ... + 393265913.

Almost surely, 2^{110201011221120} is an apocalyptic number.

110201011221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201011221120 is an abundant number, since it is smaller than the sum of its proper divisors (245876571721920).

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

110201011221120 is an equidigital number, since it uses as much as digits as its factorization.

110201011221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786251602 (or 786251590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110201011221120 its reverse (21122110102011), we get a palindrome (131323121323131).

It can be divided in two parts, 1102010 and 11221120, that added together give a triangular number (12323130 = T₄₉₆₄).

The spelling of 110201011221120 in words is "one hundred ten trillion, two hundred one billion, eleven million, two hundred twenty-one thousand, one hundred twenty".