10111000109980 has 864 divisors, whose sum is σ = 28644717528000. Its totient is φ = 2984002560000.

The previous prime is 10111000109897. The next prime is 10111000109981. The reversal of 10111000109980 is 8990100011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111000109981) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28971346846 + ... + 28971347194.

It is an arithmetic number, because the mean of its divisors is an integer number (33153608250).

Almost surely, 2^{10111000109980} is an apocalyptic number.

10111000109980 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 10111000109980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322358764000).

10111000109980 is an abundant number, since it is smaller than the sum of its proper divisors (18533717418020).

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

10111000109980 is a wasteful number, since it uses less digits than its factorization.

10111000109980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 10111000109980 in words is "ten trillion, one hundred eleven billion, one hundred nine thousand, nine hundred eighty".