10111111000020 has 108 divisors (see below), whose sum is σ = 32061842699796. Its totient is φ = 2579065969920.

The previous prime is 10111110999967. The next prime is 10111111000021. The reversal of 10111111000020 is 2000011111101.

It can be written as a sum of positive squares in 2 ways, for example, as 3648848758416 + 6462262241604 = 1910196^2 + 2542098^2 .

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 = 10111110999966 and 10111111000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111111000021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52998201 + ... + 53188640.

It is an arithmetic number, because the mean of its divisors is an integer number (296868913887).

Almost surely, 2^{10111111000020} is an apocalyptic number.

10111111000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111111000020 is an abundant number, since it is smaller than the sum of its proper divisors (21950731699776).

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

10111111000020 is a wasteful number, since it uses less digits than its factorization.

10111111000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106186902 (or 106186874 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10111111000020 its reverse (2000011111101), we get a palindrome (12111122111121).

The spelling of 10111111000020 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, twenty", and thus it is an aban number.