200010122100020 has 96 divisors (see below), whose sum is σ = 443194167252480. Its totient is φ = 75610620754560.

The previous prime is 200010122100013. The next prime is 200010122100023. The reversal of 200010122100020 is 20001221010002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200010122099974 and 200010122100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200010122100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399415919 + ... + 399916361.

It is an arithmetic number, because the mean of its divisors is an integer number (4616605908880).

Almost surely, 2^{200010122100020} is an apocalyptic number.

200010122100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200010122100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221597083626240).

200010122100020 is an abundant number, since it is smaller than the sum of its proper divisors (243184045152460).

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

200010122100020 is a wasteful number, since it uses less digits than its factorization.

200010122100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503005 (or 503003 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200010122100020 its reverse (20001221010002), we get a palindrome (220011343110022).

The spelling of 200010122100020 in words is "two hundred trillion, ten billion, one hundred twenty-two million, one hundred thousand, twenty".