10211200110020 has 144 divisors (see below), whose sum is σ = 27518515175088. Its totient is φ = 3152854978560.

The previous prime is 10211200109977. The next prime is 10211200110031. The reversal of 10211200110020 is 2001100211201.

10211200110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1050444607744 + 9160755502276 = 1024912^2 + 3026674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10211200109983 and 10211200110010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9252137 + ... + 10296816.

It is an arithmetic number, because the mean of its divisors is an integer number (191100799827).

Almost surely, 2^{10211200110020} is an apocalyptic number.

10211200110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211200110020 is an abundant number, since it is smaller than the sum of its proper divisors (17307315065068).

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

10211200110020 is a wasteful number, since it uses less digits than its factorization.

10211200110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19549030 (or 19549021 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10211200110020 its reverse (2001100211201), we get a palindrome (12212300321221).

The spelling of 10211200110020 in words is "ten trillion, two hundred eleven billion, two hundred million, one hundred ten thousand, twenty".