10110202211120 has 80 divisors (see below), whose sum is σ = 25710810117120. Its totient is φ = 3666736684800.

The previous prime is 10110202211119. The next prime is 10110202211129. The reversal of 10110202211120 is 2111220201101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10110202211095 and 10110202211104.

It is not an unprimeable number, because it can be changed into a prime (10110202211129) 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, 14823296 + ... + 15490335.

It is an arithmetic number, because the mean of its divisors is an integer number (321385126464).

Almost surely, 2^{10110202211120} is an apocalyptic number.

10110202211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110202211120 is an abundant number, since it is smaller than the sum of its proper divisors (15600607906000).

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

10110202211120 is a wasteful number, since it uses less digits than its factorization.

10110202211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30314034 (or 30314028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10110202211120 its reverse (2111220201101), we get a palindrome (12221422412221).

The spelling of 10110202211120 in words is "ten trillion, one hundred ten billion, two hundred two million, two hundred eleven thousand, one hundred twenty".