110021101212000 has 384 divisors, whose sum is σ = 403822332845568. Its totient is φ = 25950921984000.

The previous prime is 110021101211971. The next prime is 110021101212047. The reversal of 110021101212000 is 212101120011.

110021101212000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110021101212000² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6379422 + ... + 16147421.

It is an arithmetic number, because the mean of its divisors is an integer number (1051620658452).

Almost surely, 2^{110021101212000} is an apocalyptic number.

110021101212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110021101212000 is an abundant number, since it is smaller than the sum of its proper divisors (293801231633568).

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

110021101212000 is a wasteful number, since it uses less digits than its factorization.

110021101212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22526919 (or 22526901 counting only the distinct ones).

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

Adding to 110021101212000 its reverse (212101120011), we get a palindrome (110233202332011).

The spelling of 110021101212000 in words is "one hundred ten trillion, twenty-one billion, one hundred one million, two hundred twelve thousand".