110121012220032 has 192 divisors, whose sum is σ = 345707296945920. Its totient is φ = 33368563968000.

The previous prime is 110121012219997. The next prime is 110121012220061. The reversal of 110121012220032 is 230022210121011.

110121012220032 is a `hidden beast` number, since 1 + 101 + 210 + 122 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110121012219987 and 110121012220014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314356657 + ... + 314706767.

It is an arithmetic number, because the mean of its divisors is an integer number (1800558838260).

Almost surely, 2^{110121012220032} is an apocalyptic number.

110121012220032 is a gapful number since it is divisible by the number (12) 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 110121012220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172853648472960).

110121012220032 is an abundant number, since it is smaller than the sum of its proper divisors (235586284725888).

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

110121012220032 is a wasteful number, since it uses less digits than its factorization.

110121012220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374963 (or 374948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110121012220032 its reverse (230022210121011), we get a palindrome (340143222341043).

The spelling of 110121012220032 in words is "one hundred ten trillion, one hundred twenty-one billion, twelve million, two hundred twenty thousand, thirty-two".