210112121123100 has 648 divisors, whose sum is σ = 789349026866400. Its totient is φ = 46727543761920.

The previous prime is 210112121123057. The next prime is 210112121123117. The reversal of 210112121123100 is 1321121211012.

It is a happy number.

210112121123100 is a `hidden beast` number, since 2 + 101 + 121 + 211 + 231 + 0 + 0 = 666.

210112121123100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210112121123100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 422361712 + ... + 422858888.

It is an arithmetic number, because the mean of its divisors is an integer number (1218131214300).

Almost surely, 2^{210112121123100} is an apocalyptic number.

210112121123100 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 210112121123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394674513433200).

210112121123100 is an abundant number, since it is smaller than the sum of its proper divisors (579236905743300).

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

210112121123100 is a wasteful number, since it uses less digits than its factorization.

210112121123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497292 (or 497231 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 210112121123100 its reverse (1321121211012), we get a palindrome (211433242334112).

The spelling of 210112121123100 in words is "two hundred ten trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-three thousand, one hundred".