201012211101996 has 144 divisors (see below), whose sum is σ = 585277190977024. Its totient is φ = 56980784683008.

The previous prime is 201012211101983. The next prime is 201012211101997. The reversal of 201012211101996 is 699101112210102.

It is a super-3 number, since 3×201012211101996³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 201012211101996.

It is not an unprimeable number, because it can be changed into a prime (201012211101997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19460241 + ... + 27941463.

Almost surely, 2^{201012211101996} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012211101996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292638595488512).

201012211101996 is an abundant number, since it is smaller than the sum of its proper divisors (384264979875028).

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

201012211101996 is a wasteful number, since it uses less digits than its factorization.

201012211101996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481980 (or 8481975 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 201012211101996 in words is "two hundred one trillion, twelve billion, two hundred eleven million, one hundred one thousand, nine hundred ninety-six".