111012211110000 has 400 divisors, whose sum is σ = 368123681638944. Its totient is φ = 28797221376000.

The previous prime is 111012211109993. The next prime is 111012211110001. The reversal of 111012211110000 is 11112210111.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×111012211110000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111012211110001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8610263554 + ... + 8610276446.

Almost surely, 2^{111012211110000} is an apocalyptic number.

111012211110000 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 111012211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184061840819472).

111012211110000 is an abundant number, since it is smaller than the sum of its proper divisors (257111470528944).

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

111012211110000 is a wasteful number, since it uses less digits than its factorization.

111012211110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20718 (or 20697 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111012211110000 its reverse (11112210111), we get a palindrome (111023323320111).

It can be divided in two parts, 11101221 and 1110000, that added together give a palindrome (12211221).

The spelling of 111012211110000 in words is "one hundred eleven trillion, twelve billion, two hundred eleven million, one hundred ten thousand".