10211001110120 has 32 divisors (see below), whose sum is σ = 22977302377320. Its totient is φ = 4083947132160.

The previous prime is 10211001110117. The next prime is 10211001110129. The reversal of 10211001110120 is 2101110011201.

It can be written as a sum of positive squares in 4 ways, for example, as 7739446104196 + 2471555005924 = 2781986^2 + 1572118^2 .

It is not an unprimeable number, because it can be changed into a prime (10211001110129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13800971 + ... + 14522010.

Almost surely, 2^{10211001110120} is an apocalyptic number.

10211001110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211001110120 is an abundant number, since it is smaller than the sum of its proper divisors (12766301267200).

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

10211001110120 is a wasteful number, since it uses less digits than its factorization.

10211001110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28332005 (or 28332001 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10211001110120 its reverse (2101110011201), we get a palindrome (12312111121321).

The spelling of 10211001110120 in words is "ten trillion, two hundred eleven billion, one million, one hundred ten thousand, one hundred twenty".