201010212112000 has 384 divisors, whose sum is σ = 527802995425680. Its totient is φ = 76121210880000.

The previous prime is 201010212111949. The next prime is 201010212112001. The reversal of 201010212112000 is 211212010102.

It can be written as a sum of positive squares in 8 ways, for example, as 14827243579456 + 186182968532544 = 3850616^2 + 13644888^2 .

It is a super-2 number, since 2×201010212112000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201010212112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9247365132 + ... + 9247386868.

Almost surely, 2^{201010212112000} is an apocalyptic number.

201010212112000 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 201010212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263901497712840).

201010212112000 is an abundant number, since it is smaller than the sum of its proper divisors (326792783313680).

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

201010212112000 is a wasteful number, since it uses less digits than its factorization.

201010212112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23405 (or 23364 counting only the distinct ones).

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

Adding to 201010212112000 its reverse (211212010102), we get a palindrome (201221424122102).

The spelling of 201010212112000 in words is "two hundred one trillion, ten billion, two hundred twelve million, one hundred twelve thousand".