212021120101000 has 256 divisors, whose sum is σ = 585745510072320. Its totient is φ = 70293938400000.

The previous prime is 212021120100967. The next prime is 212021120101003. The reversal of 212021120101000 is 101021120212.

It is not an unprimeable number, because it can be changed into a prime (212021120101003) 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, 282376075 + ... + 283125925.

It is an arithmetic number, because the mean of its divisors is an integer number (2288068398720).

Almost surely, 2^{212021120101000} is an apocalyptic number.

212021120101000 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 212021120101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292872755036160).

212021120101000 is an abundant number, since it is smaller than the sum of its proper divisors (373724389971320).

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

212021120101000 is a wasteful number, since it uses less digits than its factorization.

212021120101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751213 (or 751199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212021120101000 its reverse (101021120212), we get a palindrome (212122141221212).

It can be divided in two parts, 212021 and 120101000, that added together give a palindrome (120313021).

The spelling of 212021120101000 in words is "two hundred twelve trillion, twenty-one billion, one hundred twenty million, one hundred one thousand".