210112111021120 has 224 divisors, whose sum is σ = 623809186882560. Its totient is φ = 65487200163840.

The previous prime is 210112111021117. The next prime is 210112111021121. The reversal of 210112111021120 is 21120111211012.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210112111021094 and 210112111021103.

It is not an unprimeable number, because it can be changed into a prime (210112111021121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789800767 + ... + 790066753.

It is an arithmetic number, because the mean of its divisors is an integer number (2784862441440).

Almost surely, 2^{210112111021120} is an apocalyptic number.

210112111021120 is a gapful number since it is divisible by the number (20) 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 210112111021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311904593441280).

210112111021120 is an abundant number, since it is smaller than the sum of its proper divisors (413697075861440).

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

210112111021120 is a wasteful number, since it uses less digits than its factorization.

210112111021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298081 (or 298071 counting only the distinct ones).

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

Adding to 210112111021120 its reverse (21120111211012), we get a palindrome (231232222232132).

The spelling of 210112111021120 in words is "two hundred ten trillion, one hundred twelve billion, one hundred eleven million, twenty-one thousand, one hundred twenty".