20021012100200 has 96 divisors (see below), whose sum is σ = 47033939348760. Its totient is φ = 7924967424000.

The previous prime is 20021012100179. The next prime is 20021012100253. The reversal of 20021012100200 is 200121012002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7332754904836 + 12688257195364 = 2707906^2 + 3562058^2 .

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 23 ways as a sum of consecutive naturals, for example, 192027284 + ... + 192131516.

Almost surely, 2^{20021012100200} is an apocalyptic number.

20021012100200 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 20021012100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23516969674380).

20021012100200 is an abundant number, since it is smaller than the sum of its proper divisors (27012927248560).

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

20021012100200 is a wasteful number, since it uses less digits than its factorization.

20021012100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114247 (or 114238 counting only the distinct ones).

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

Adding to 20021012100200 its reverse (200121012002), we get a palindrome (20221133112202).

The spelling of 20021012100200 in words is "twenty trillion, twenty-one billion, twelve million, one hundred thousand, two hundred".