10111102101120 has 512 divisors, whose sum is σ = 34886958163200. Its totient is φ = 2482162237440.

The previous prime is 10111102101119. The next prime is 10111102101131. The reversal of 10111102101120 is 2110120111101.

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 = 10111102101096 and 10111102101105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1156739950 + ... + 1156748690.

Almost surely, 2^{10111102101120} is an apocalyptic number.

10111102101120 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 10111102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17443479081600).

10111102101120 is an abundant number, since it is smaller than the sum of its proper divisors (24775856062080).

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

10111102101120 is a wasteful number, since it uses less digits than its factorization.

10111102101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9676 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10111102101120 its reverse (2110120111101), we get a palindrome (12221222212221).

The spelling of 10111102101120 in words is "ten trillion, one hundred eleven billion, one hundred two million, one hundred one thousand, one hundred twenty".