110010121201002 has 128 divisors (see below), whose sum is σ = 249835950671616. Its totient is φ = 31999968000000.

The previous prime is 110010121200997. The next prime is 110010121201009. The reversal of 110010121201002 is 200102121010011.

It is not an unprimeable number, because it can be changed into a prime (110010121201009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68512752 + ... + 70100052.

It is an arithmetic number, because the mean of its divisors is an integer number (1951843364622).

Almost surely, 2^{110010121201002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010121201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124917975335808).

110010121201002 is an abundant number, since it is smaller than the sum of its proper divisors (139825829470614).

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

110010121201002 is a wasteful number, since it uses less digits than its factorization.

110010121201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587736.

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

Adding to 110010121201002 its reverse (200102121010011), we get a palindrome (310112242211013).

The spelling of 110010121201002 in words is "one hundred ten trillion, ten billion, one hundred twenty-one million, two hundred one thousand, two".