201001101021 has 32 divisors (see below), whose sum is σ = 352054483200. Its totient is φ = 110897156160.

The previous prime is 201001101019. The next prime is 201001101053. The reversal of 201001101021 is 120101100102.

It is a happy number.

It is not a de Polignac number, because 201001101021 - 2¹ = 201001101019 is a prime.

It is a super-3 number, since 3×201001101021³ (a number of 35 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 201001100994 and 201001101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001101071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18330690 + ... + 18341651.

It is an arithmetic number, because the mean of its divisors is an integer number (11001702600).

Almost surely, 2^201001101021 is an apocalyptic number.

201001101021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201001101021 is a deficient number, since it is larger than the sum of its proper divisors (151053382179).

201001101021 is a wasteful number, since it uses less digits than its factorization.

201001101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36672386 (or 36672380 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201001101021 its reverse (120101100102), we get a palindrome (321102201123).

The spelling of 201001101021 in words is "two hundred one billion, one million, one hundred one thousand, twenty-one".