201210010212120 has 512 divisors, whose sum is σ = 789339595161600. Its totient is φ = 39842846963712.

The previous prime is 201210010212097. The next prime is 201210010212157. The reversal of 201210010212120 is 21212010012102.

It is a super-2 number, since 2×201210010212120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201210010212120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17668677 + ... + 26732043.

It is an arithmetic number, because the mean of its divisors is an integer number (1541678896800).

Almost surely, 2^{201210010212120} is an apocalyptic number.

201210010212120 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 201210010212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394669797580800).

201210010212120 is an abundant number, since it is smaller than the sum of its proper divisors (588129584949480).

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

201210010212120 is a wasteful number, since it uses less digits than its factorization.

201210010212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9063527 (or 9063523 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201210010212120 its reverse (21212010012102), we get a palindrome (222422020224222).

The spelling of 201210010212120 in words is "two hundred one trillion, two hundred ten billion, ten million, two hundred twelve thousand, one hundred twenty".