2001100012021 has 64 divisors (see below), whose sum is σ = 2419996262400. Its totient is φ = 1633393382400.

The previous prime is 2001100012001. The next prime is 2001100012103. The reversal of 2001100012021 is 1202100011002.

It is not a de Polignac number, because 2001100012021 - 2¹⁹ = 2001099487733 is a prime.

It is a super-2 number, since 2×2001100012021² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001100011989 and 2001100012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001100012001) 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, 324692686 + ... + 324698848.

It is an arithmetic number, because the mean of its divisors is an integer number (37812441600).

Almost surely, 2^{2001100012021} is an apocalyptic number.

It is an amenable number.

2001100012021 is a deficient number, since it is larger than the sum of its proper divisors (418896250379).

2001100012021 is a wasteful number, since it uses less digits than its factorization.

2001100012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001100012021 its reverse (1202100011002), we get a palindrome (3203200023023).

The spelling of 2001100012021 in words is "two trillion, one billion, one hundred million, twelve thousand, twenty-one".