10211000100020 has 12 divisors (see below), whose sum is σ = 21443100210084. Its totient is φ = 4084400040000.

The previous prime is 10211000099981. The next prime is 10211000100023. The reversal of 10211000100020 is 2000100011201.

It can be written as a sum of positive squares in 2 ways, for example, as 5809748556964 + 4401251543056 = 2410342^2 + 2097916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10211000099980 and 10211000100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211000100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255275002481 + ... + 255275002520.

It is an arithmetic number, because the mean of its divisors is an integer number (1786925017507).

Almost surely, 2^{10211000100020} is an apocalyptic number.

10211000100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211000100020 is an abundant number, since it is smaller than the sum of its proper divisors (11232100110064).

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

10211000100020 is a wasteful number, since it uses less digits than its factorization.

10211000100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510550005010 (or 510550005008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10211000100020 its reverse (2000100011201), we get a palindrome (12211100111221).

The spelling of 10211000100020 in words is "ten trillion, two hundred eleven billion, one hundred thousand, twenty".