111020111121000 has 256 divisors, whose sum is σ = 349902054028800. Its totient is φ = 29304718080000.

The previous prime is 111020111120987. The next prime is 111020111121013. The reversal of 111020111121000 is 121111020111.

It is an interprime number because it is at equal distance from previous prime (111020111120987) and next prime (111020111121013).

It is a super-4 number, since 4×111020111121000⁴ (a number of 57 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1234074021 + ... + 1234163979.

It is an arithmetic number, because the mean of its divisors is an integer number (1366804898550).

Almost surely, 2^{111020111121000} is an apocalyptic number.

111020111121000 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 111020111121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174951027014400).

111020111121000 is an abundant number, since it is smaller than the sum of its proper divisors (238881942907800).

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

111020111121000 is a wasteful number, since it uses less digits than its factorization.

111020111121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94157 (or 94143 counting only the distinct ones).

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

Adding to 111020111121000 its reverse (121111020111), we get a palindrome (111141222141111).

It can be divided in two parts, 111020111 and 121000, that added together give a palindrome (111141111).

The spelling of 111020111121000 in words is "one hundred eleven trillion, twenty billion, one hundred eleven million, one hundred twenty-one thousand".