211001001212120 has 256 divisors, whose sum is σ = 577806704640000. Its totient is φ = 69187284891648.

The previous prime is 211001001212117. The next prime is 211001001212153. The reversal of 211001001212120 is 21212100100112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211001001212095 and 211001001212104.

It is a congruent number.

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, 2221179344 + ... + 2221274336.

It is an arithmetic number, because the mean of its divisors is an integer number (2257057440000).

Almost surely, 2^{211001001212120} is an apocalyptic number.

211001001212120 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 211001001212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288903352320000).

211001001212120 is an abundant number, since it is smaller than the sum of its proper divisors (366805703427880).

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

211001001212120 is a wasteful number, since it uses less digits than its factorization.

211001001212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102087 (or 102069 counting only the distinct ones).

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

Adding to 211001001212120 its reverse (21212100100112), we get a palindrome (232213101312232).

The spelling of 211001001212120 in words is "two hundred eleven trillion, one billion, one million, two hundred twelve thousand, one hundred twenty".