10211102111120 has 160 divisors (see below), whose sum is σ = 25464466419840. Its totient is φ = 3794240184320.

The previous prime is 10211102111117. The next prime is 10211102111129. The reversal of 10211102111120 is 2111120111201.

It is a junction number, because it is equal to n+sod(n) for n = 10211102111095 and 10211102111104.

It is not an unprimeable number, because it can be changed into a prime (10211102111129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119723051 + ... + 119808309.

It is an arithmetic number, because the mean of its divisors is an integer number (159152915124).

Almost surely, 2^{10211102111120} is an apocalyptic number.

10211102111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211102111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12732233209920).

10211102111120 is an abundant number, since it is smaller than the sum of its proper divisors (15253364308720).

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

10211102111120 is a wasteful number, since it uses less digits than its factorization.

10211102111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86433 (or 86427 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10211102111120 its reverse (2111120111201), we get a palindrome (12322222222321).

The spelling of 10211102111120 in words is "ten trillion, two hundred eleven billion, one hundred two million, one hundred eleven thousand, one hundred twenty".