111200102022100 has 288 divisors, whose sum is σ = 302097042051840. Its totient is φ = 34588088156160.

The previous prime is 111200102022091. The next prime is 111200102022109. The reversal of 111200102022100 is 1220201002111.

It is an interprime number because it is at equal distance from previous prime (111200102022091) and next prime (111200102022109).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111200102022109) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2423006754 + ... + 2423052646.

It is an arithmetic number, because the mean of its divisors is an integer number (1048948062680).

Almost surely, 2^{111200102022100} is an apocalyptic number.

111200102022100 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 111200102022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151048521025920).

111200102022100 is an abundant number, since it is smaller than the sum of its proper divisors (190896940029740).

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

111200102022100 is a wasteful number, since it uses less digits than its factorization.

111200102022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50499 (or 50492 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 111200102022100 its reverse (1220201002111), we get a palindrome (112420303024211).

The spelling of 111200102022100 in words is "one hundred eleven trillion, two hundred billion, one hundred two million, twenty-two thousand, one hundred".