111020121100000 has 288 divisors, whose sum is σ = 312361215727680. Its totient is φ = 38047326720000.

The previous prime is 111020121099973. The next prime is 111020121100027. The reversal of 111020121100000 is 1121020111.

It is an interprime number because it is at equal distance from previous prime (111020121099973) and next prime (111020121100027).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 111020121100000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649866356 + ... + 1649933644.

It is an arithmetic number, because the mean of its divisors is an integer number (1084587554610).

Almost surely, 2^{111020121100000} is an apocalyptic number.

111020121100000 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 111020121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156180607863840).

111020121100000 is an abundant number, since it is smaller than the sum of its proper divisors (201341094627680).

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

111020121100000 is an frugal number, since it uses more digits than its factorization.

111020121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69688 (or 69660 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111020121100000 its reverse (1121020111), we get a palindrome (111021242120111).

The spelling of 111020121100000 in words is "one hundred eleven trillion, twenty billion, one hundred twenty-one million, one hundred thousand".