20000201201001 has 36 divisors (see below), whose sum is σ = 33983373352500. Its totient is φ = 11300274171648.

The previous prime is 20000201200999. The next prime is 20000201201011. The reversal of 20000201201001 is 10010210200002.

It can be written as a sum of positive squares in 2 ways, for example, as 1316618553600 + 18683582647401 = 1147440^2 + 4322451^2 .

It is not a de Polignac number, because 20000201201001 - 2¹ = 20000201200999 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 (20000201201011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 254746876 + ... + 254825373.

It is an arithmetic number, because the mean of its divisors is an integer number (943982593125).

Almost surely, 2^{20000201201001} is an apocalyptic number.

20000201201001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20000201201001 is a deficient number, since it is larger than the sum of its proper divisors (13983172151499).

20000201201001 is a wasteful number, since it uses less digits than its factorization.

20000201201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509572358 (or 509572348 counting only the distinct ones).

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

Adding to 20000201201001 its reverse (10010210200002), we get a palindrome (30010411401003).

The spelling of 20000201201001 in words is "twenty trillion, two hundred one million, two hundred one thousand, one".