110020021012000 has 576 divisors, whose sum is σ = 307803389493600. Its totient is φ = 38573703168000.

The previous prime is 110020021011947. The next prime is 110020021012037. The reversal of 110020021012000 is 210120020011.

It can be written as a sum of positive squares in 16 ways, for example, as 2259261511056 + 107760759500944 = 1503084^2 + 10380788^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10793678904 + ... + 10793689096.

Almost surely, 2^{110020021012000} is an apocalyptic number.

110020021012000 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 110020021012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153901694746800).

110020021012000 is an abundant number, since it is smaller than the sum of its proper divisors (197783368481600).

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

110020021012000 is a wasteful number, since it uses less digits than its factorization.

110020021012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11038 (or 11009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110020021012000 its reverse (210120020011), we get a palindrome (110230141032011).

The spelling of 110020021012000 in words is "one hundred ten trillion, twenty billion, twenty-one million, twelve thousand".