10211200222120 has 32 divisors (see below), whose sum is σ = 22976329177800. Its totient is φ = 4084279435008.

The previous prime is 10211200222117. The next prime is 10211200222121. The reversal of 10211200222120 is 2122200211201.

It is a happy number.

10211200222120 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 4 ways, for example, as 8712686379076 + 1498513843044 = 2951726^2 + 1224138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10211200222094 and 10211200222103.

It is not an unprimeable number, because it can be changed into a prime (10211200222121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5444679 + ... + 7075798.

Almost surely, 2^{10211200222120} is an apocalyptic number.

10211200222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211200222120 is an abundant number, since it is smaller than the sum of its proper divisors (12765128955680).

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

10211200222120 is a wasteful number, since it uses less digits than its factorization.

10211200222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12540877 (or 12540873 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10211200222120 its reverse (2122200211201), we get a palindrome (12333400433321).

The spelling of 10211200222120 in words is "ten trillion, two hundred eleven billion, two hundred million, two hundred twenty-two thousand, one hundred twenty".