201001120213212 has 288 divisors, whose sum is σ = 573001597808640. Its totient is φ = 58857535872000.

The previous prime is 201001120213193. The next prime is 201001120213259. The reversal of 201001120213212 is 212312021100102.

201001120213212 is a `hidden beast` number, since 20 + 100 + 1 + 120 + 213 + 212 = 666.

It is a super-2 number, since 2×201001120213212² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27866504118 + ... + 27866511330.

It is an arithmetic number, because the mean of its divisors is an integer number (1989588881280).

Almost surely, 2^{201001120213212} is an apocalyptic number.

201001120213212 is a gapful number since it is divisible by the number (22) 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 201001120213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286500798904320).

201001120213212 is an abundant number, since it is smaller than the sum of its proper divisors (372000477595428).

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

201001120213212 is a wasteful number, since it uses less digits than its factorization.

201001120213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201001120213212 its reverse (212312021100102), we get a palindrome (413313141313314).

The spelling of 201001120213212 in words is "two hundred one trillion, one billion, one hundred twenty million, two hundred thirteen thousand, two hundred twelve".