10211200110120 has 64 divisors (see below), whose sum is σ = 30648940859520. Its totient is φ = 2721623093504.

The previous prime is 10211200110107. The next prime is 10211200110121. The reversal of 10211200110120 is 2101100211201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10211200110096 and 10211200110105.

It is not an unprimeable number, because it can be changed into a prime (10211200110121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21065652 + ... + 21544931.

It is an arithmetic number, because the mean of its divisors is an integer number (478889700930).

Almost surely, 2^{10211200110120} is an apocalyptic number.

10211200110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211200110120 is an abundant number, since it is smaller than the sum of its proper divisors (20437740749400).

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

10211200110120 is a wasteful number, since it uses less digits than its factorization.

10211200110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42612594 (or 42612590 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211200110120 its reverse (2101100211201), we get a palindrome (12312300321321).

The spelling of 10211200110120 in words is "ten trillion, two hundred eleven billion, two hundred million, one hundred ten thousand, one hundred twenty".