201021123012012 has 108 divisors (see below), whose sum is σ = 516432134102976. Its totient is φ = 65930404731840.

The previous prime is 201021123011957. The next prime is 201021123012029. The reversal of 201021123012012 is 210210321120102.

201021123012012 is a `hidden beast` number, since 20 + 1 + 0 + 211 + 230 + 1 + 201 + 2 = 666.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 138743562 + ... + 140184942.

It is an arithmetic number, because the mean of its divisors is an integer number (4781779019472).

Almost surely, 2^{201021123012012} 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 201021123012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258216067051488).

201021123012012 is an abundant number, since it is smaller than the sum of its proper divisors (315411011090964).

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

201021123012012 is a wasteful number, since it uses less digits than its factorization.

201021123012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442388 (or 1442316 counting only the distinct ones).

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

Adding to 201021123012012 its reverse (210210321120102), we get a palindrome (411231444132114).

The spelling of 201021123012012 in words is "two hundred one trillion, twenty-one billion, one hundred twenty-three million, twelve thousand, twelve".