21000201020001 has 64 divisors (see below), whose sum is σ = 38522940825600. Its totient is φ = 11031569273088.

The previous prime is 21000201019999. The next prime is 21000201020023. The reversal of 21000201020001 is 10002010200012.

It is not a de Polignac number, because 21000201020001 - 2¹ = 21000201019999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21000201020401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75861961 + ... + 76138278.

It is an arithmetic number, because the mean of its divisors is an integer number (601920950400).

Almost surely, 2^{21000201020001} is an apocalyptic number.

21000201020001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21000201020001 is a deficient number, since it is larger than the sum of its proper divisors (17522739805599).

21000201020001 is a wasteful number, since it uses less digits than its factorization.

21000201020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152000315 (or 152000309 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21000201020001 its reverse (10002010200012), we get a palindrome (31002211220013).

It can be divided in two parts, 2 and 1000201020001, that multiplied together give a palindrome (2000402040002).

The spelling of 21000201020001 in words is "twenty-one trillion, two hundred one million, twenty thousand, one".