20001022120002 has 192 divisors, whose sum is σ = 51594358907520. Its totient is φ = 5110609996800.

The previous prime is 20001022119983. The next prime is 20001022120049. The reversal of 20001022120002 is 20002122010002.

It is a self number, because there is not a number n which added to its sum of digits gives 20001022120002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56525352 + ... + 56878092.

It is an arithmetic number, because the mean of its divisors is an integer number (268720619310).

Almost surely, 2^{20001022120002} is an apocalyptic number.

20001022120002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001022120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25797179453760).

20001022120002 is an abundant number, since it is smaller than the sum of its proper divisors (31593336787518).

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

20001022120002 is a wasteful number, since it uses less digits than its factorization.

20001022120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353057 (or 353050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20001022120002 its reverse (20002122010002), we get a palindrome (40003144130004).

The spelling of 20001022120002 in words is "twenty trillion, one billion, twenty-two million, one hundred twenty thousand, two".