101111030300000 has 288 divisors, whose sum is σ = 287014323407616. Its totient is φ = 34342626240000.

The previous prime is 101111030299999. The next prime is 101111030300003. The reversal of 101111030300000 is 3030111101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111030300003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74225027 + ... + 75574973.

It is an arithmetic number, because the mean of its divisors is an integer number (996577511832).

Almost surely, 2^{101111030300000} is an apocalyptic number.

101111030300000 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 101111030300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143507161703808).

101111030300000 is an abundant number, since it is smaller than the sum of its proper divisors (185903293107616).

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

101111030300000 is an equidigital number, since it uses as much as digits as its factorization.

101111030300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350096 (or 1350068 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 101111030300000 its reverse (3030111101), we get a palindrome (101114060411101).

The spelling of 101111030300000 in words is "one hundred one trillion, one hundred eleven billion, thirty million, three hundred thousand".