110010102021120 has 264 divisors, whose sum is σ = 409307040227664. Its totient is φ = 25145166004224.

The previous prime is 110010102021091. The next prime is 110010102021121. The reversal of 110010102021120 is 21120201010011.

It is a super-3 number, since 3×110010102021120³ (a number of 43 digits) contains 333 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 = 110010102021096 and 110010102021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010102021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72330177 + ... + 73835456.

Almost surely, 2^{110010102021120} is an apocalyptic number.

110010102021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010102021120 is an abundant number, since it is smaller than the sum of its proper divisors (299296938206544).

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

110010102021120 is a wasteful number, since it uses less digits than its factorization.

110010102021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146165675 (or 146165650 counting only the distinct ones).

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

Adding to 110010102021120 its reverse (21120201010011), we get a palindrome (131130303031131).

The spelling of 110010102021120 in words is "one hundred ten trillion, ten billion, one hundred two million, twenty-one thousand, one hundred twenty".