100121011102002 has 128 divisors (see below), whose sum is σ = 225573536268288. Its totient is φ = 29365598606400.

The previous prime is 100121011101977. The next prime is 100121011102003. The reversal of 100121011102002 is 200201110121001.

It is a super-3 number, since 3×100121011102002³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100121011102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122111103 + ... + 122928285.

It is an arithmetic number, because the mean of its divisors is an integer number (1762293252096).

Almost surely, 2^{100121011102002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121011102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112786768134144).

100121011102002 is an abundant number, since it is smaller than the sum of its proper divisors (125452525166286).

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

100121011102002 is a wasteful number, since it uses less digits than its factorization.

100121011102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817684.

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

Adding to 100121011102002 its reverse (200201110121001), we get a palindrome (300322121223003).

The spelling of 100121011102002 in words is "one hundred trillion, one hundred twenty-one billion, eleven million, one hundred two thousand, two".