110001100120002 has 192 divisors, whose sum is σ = 301409250105600. Its totient is φ = 28213606927872.

The previous prime is 110001100119979. The next prime is 110001100120081. The reversal of 110001100120002 is 200021001100011.

It is a happy number.

It is a super-2 number, since 2×110001100120002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 125806624 + ... + 126677972.

It is an arithmetic number, because the mean of its divisors is an integer number (1569839844300).

Almost surely, 2^{110001100120002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110001100120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150704625052800).

110001100120002 is an abundant number, since it is smaller than the sum of its proper divisors (191408149985598).

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

110001100120002 is a wasteful number, since it uses less digits than its factorization.

110001100120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873497 (or 873494 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110001100120002 its reverse (200021001100011), we get a palindrome (310022101220013).

The spelling of 110001100120002 in words is "one hundred ten trillion, one billion, one hundred million, one hundred twenty thousand, two".