20001010220010 has 192 divisors, whose sum is σ = 52901682163200. Its totient is φ = 5241932734464.

The previous prime is 20001010219933. The next prime is 20001010220041. The reversal of 20001010220010 is 1002201010002.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20001010219974 and 20001010220001.

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, 4431863514 + ... + 4431868026.

It is an arithmetic number, because the mean of its divisors is an integer number (275529594600).

Almost surely, 2^{20001010220010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001010220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26450841081600).

20001010220010 is an abundant number, since it is smaller than the sum of its proper divisors (32900671943190).

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

20001010220010 is a wasteful number, since it uses less digits than its factorization.

20001010220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20001010220010 its reverse (1002201010002), we get a palindrome (21003211230012).

The spelling of 20001010220010 in words is "twenty trillion, one billion, ten million, two hundred twenty thousand, ten".