2111101000020 has 144 divisors (see below), whose sum is σ = 6539577971472. Its totient is φ = 551061688320.

The previous prime is 2111101000009. The next prime is 2111101000027. The reversal of 2111101000020 is 200001011112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 615186098244 + 1495914901776 = 784338^2 + 1223076^2 .

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 = 2111100999966 and 2111101000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111101000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3875290 + ... + 4386350.

It is an arithmetic number, because the mean of its divisors is an integer number (45413735913).

Almost surely, 2^{2111101000020} is an apocalyptic number.

2111101000020 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 2111101000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269788985736).

2111101000020 is an abundant number, since it is smaller than the sum of its proper divisors (4428476971452).

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

2111101000020 is a wasteful number, since it uses less digits than its factorization.

2111101000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511562 (or 511557 counting only the distinct ones).

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

Adding to 2111101000020 its reverse (200001011112), we get a palindrome (2311102011132).

The spelling of 2111101000020 in words is "two trillion, one hundred eleven billion, one hundred one million, twenty", and thus it is an aban number.