212201110121000 has 256 divisors, whose sum is σ = 666697309125120. Its totient is φ = 61052866560000.

The previous prime is 212201110120943. The next prime is 212201110121009. The reversal of 212201110121000 is 121011102212.

212201110121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212201110121000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (212201110121009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104993561 + ... + 106995560.

It is an arithmetic number, because the mean of its divisors is an integer number (2604286363770).

Almost surely, 2^{212201110121000} is an apocalyptic number.

212201110121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201110121000 is an abundant number, since it is smaller than the sum of its proper divisors (454496199004120).

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

212201110121000 is a wasteful number, since it uses less digits than its factorization.

212201110121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211989173 (or 211989159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212201110121000 its reverse (121011102212), we get a palindrome (212322121223212).

The spelling of 212201110121000 in words is "two hundred twelve trillion, two hundred one billion, one hundred ten million, one hundred twenty-one thousand".