10211110000020 has 240 divisors, whose sum is σ = 33168365168400. Its totient is φ = 2626595112960.

The previous prime is 10211110000009. The next prime is 10211110000051. The reversal of 10211110000020 is 2000001111201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36528383376 + 10174581616644 = 191124^2 + 3189762^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10211109999957 and 10211110000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50119960 + ... + 50323280.

It is an arithmetic number, because the mean of its divisors is an integer number (138201521535).

Almost surely, 2^{10211110000020} is an apocalyptic number.

10211110000020 is a gapful number since it is divisible by the number (10) 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 10211110000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584182584200).

10211110000020 is an abundant number, since it is smaller than the sum of its proper divisors (22957255168380).

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

10211110000020 is a wasteful number, since it uses less digits than its factorization.

10211110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204440 (or 204429 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10211110000020 its reverse (2000001111201), we get a palindrome (12211111111221).

The spelling of 10211110000020 in words is "ten trillion, two hundred eleven billion, one hundred ten million, twenty", and thus it is an aban number.