110102221200000 has 384 divisors, whose sum is σ = 372447776816640. Its totient is φ = 28806602240000.

The previous prime is 110102221199987. The next prime is 110102221200031. The reversal of 110102221200000 is 2122201011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×110102221200000² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62734417 + ... + 64465583.

It is an arithmetic number, because the mean of its divisors is an integer number (969916085460).

Almost surely, 2^{110102221200000} is an apocalyptic number.

110102221200000 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 110102221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186223888408320).

110102221200000 is an abundant number, since it is smaller than the sum of its proper divisors (262345555616640).

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

110102221200000 is an frugal number, since it uses more digits than its factorization.

110102221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731262 (or 1731230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110102221200000 its reverse (2122201011), we get a palindrome (110104343401011).

The spelling of 110102221200000 in words is "one hundred ten trillion, one hundred two billion, two hundred twenty-one million, two hundred thousand".