2000201010021 has 24 divisors (see below), whose sum is σ = 2891495181120. Its totient is φ = 1332398894400.

The previous prime is 2000201009971. The next prime is 2000201010023. The reversal of 2000201010021 is 1200101020002.

It is not a de Polignac number, because 2000201010021 - 2¹⁵ = 2000200977253 is a prime.

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 = 2000201009985 and 2000201010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000201010023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61796640 + ... + 61828998.

It is an arithmetic number, because the mean of its divisors is an integer number (120478965880).

Almost surely, 2^{2000201010021} is an apocalyptic number.

It is an amenable number.

2000201010021 is a deficient number, since it is larger than the sum of its proper divisors (891294171099).

2000201010021 is a wasteful number, since it uses less digits than its factorization.

2000201010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37657 (or 37654 counting only the distinct ones).

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

Adding to 2000201010021 its reverse (1200101020002), we get a palindrome (3200302030023).

The spelling of 2000201010021 in words is "two trillion, two hundred one million, ten thousand, twenty-one".