1002100121022 has 288 divisors, whose sum is σ = 2793114043776. Its totient is φ = 237359928960.

The previous prime is 1002100120999. The next prime is 1002100121039. The reversal of 1002100121022 is 2201210012001.

It is a junction number, because it is equal to n+sod(n) for n = 1002100120989 and 1002100121007.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 38371293 + ... + 38397399.

It is an arithmetic number, because the mean of its divisors is an integer number (9698312652).

Almost surely, 2^{1002100121022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002100121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396557021888).

1002100121022 is an abundant number, since it is smaller than the sum of its proper divisors (1791013922754).

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

1002100121022 is a wasteful number, since it uses less digits than its factorization.

1002100121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26244 (or 26226 counting only the distinct ones).

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

Adding to 1002100121022 its reverse (2201210012001), we get a palindrome (3203310133023).

The spelling of 1002100121022 in words is "one trillion, two billion, one hundred million, one hundred twenty-one thousand, twenty-two".