200021210000020 has 96 divisors (see below), whose sum is σ = 434507341087008. Its totient is φ = 77308634038272.

The previous prime is 200021209999951. The next prime is 200021210000023. The reversal of 200021210000020 is 20000012120002.

200021210000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 98867783059984 + 101153426940036 = 9943228^2 + 10057506^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200021209999961 and 200021210000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200021210000023) 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, 13487292 + ... + 24123628.

It is an arithmetic number, because the mean of its divisors is an integer number (4526118136323).

Almost surely, 2^{200021210000020} is an apocalyptic number.

200021210000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200021210000020 is an abundant number, since it is smaller than the sum of its proper divisors (234486131086988).

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

200021210000020 is a wasteful number, since it uses less digits than its factorization.

200021210000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10636669 (or 10636667 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200021210000020 its reverse (20000012120002), we get a palindrome (220021222120022).

The spelling of 200021210000020 in words is "two hundred trillion, twenty-one billion, two hundred ten million, twenty", and thus it is an aban number.