110022101112000 has 448 divisors, whose sum is σ = 452936707292160. Its totient is φ = 22861734912000.

The previous prime is 110022101111929. The next prime is 110022101112013. The reversal of 110022101112000 is 211101220011.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27919885 + ... + 31615884.

It is an arithmetic number, because the mean of its divisors is an integer number (1011019435920).

Almost surely, 2^{110022101112000} is an apocalyptic number.

110022101112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110022101112000 is an abundant number, since it is smaller than the sum of its proper divisors (342914606180160).

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

110022101112000 is a wasteful number, since it uses less digits than its factorization.

110022101112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59535817 (or 59535797 counting only the distinct ones).

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

Adding to 110022101112000 its reverse (211101220011), we get a palindrome (110233202332011).

The spelling of 110022101112000 in words is "one hundred ten trillion, twenty-two billion, one hundred one million, one hundred twelve thousand".