111012010102000 has 320 divisors, whose sum is σ = 307795994438400. Its totient is φ = 37934584934400.

The previous prime is 111012010101943. The next prime is 111012010102057. The reversal of 111012010102000 is 201010210111.

It is an interprime number because it is at equal distance from previous prime (111012010101943) and next prime (111012010102057).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7913030986 + ... + 7913045014.

It is an arithmetic number, because the mean of its divisors is an integer number (961862482620).

Almost surely, 2^{111012010102000} is an apocalyptic number.

111012010102000 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 111012010102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153897997219200).

111012010102000 is an abundant number, since it is smaller than the sum of its proper divisors (196783984336400).

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

111012010102000 is a wasteful number, since it uses less digits than its factorization.

111012010102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15901 (or 15885 counting only the distinct ones).

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

Adding to 111012010102000 its reverse (201010210111), we get a palindrome (111213020312111).

The spelling of 111012010102000 in words is "one hundred eleven trillion, twelve billion, ten million, one hundred two thousand".