201001011001021 has 32 divisors (see below), whose sum is σ = 266192943943680. Its totient is φ = 146936987692800.

The previous prime is 201001011001013. The next prime is 201001011001033. The reversal of 201001011001021 is 120100110100102.

It is a cyclic number.

It is not a de Polignac number, because 201001011001021 - 2³ = 201001011001013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201001011000989 and 201001011001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001011001321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246462841 + ... + 247277038.

It is an arithmetic number, because the mean of its divisors is an integer number (8318529498240).

Almost surely, 2^{201001011001021} is an apocalyptic number.

It is an amenable number.

201001011001021 is a deficient number, since it is larger than the sum of its proper divisors (65191932942659).

201001011001021 is a wasteful number, since it uses less digits than its factorization.

201001011001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493740225.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201001011001021 its reverse (120100110100102), we get a palindrome (321101121101123).

It can be divided in two parts, 2010010 and 11001021, that added together give a palindrome (13011031).

The spelling of 201001011001021 in words is "two hundred one trillion, one billion, eleven million, one thousand, twenty-one".