2002010021011 has 64 divisors (see below), whose sum is σ = 2808088657920. Its totient is φ = 1375824320640.

The previous prime is 2002010021009. The next prime is 2002010021059. The reversal of 2002010021011 is 1101200102002.

It is not a de Polignac number, because 2002010021011 - 2¹ = 2002010021009 is a prime.

It is a super-2 number, since 2×2002010021011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2002010022011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20280070 + ... + 20378548.

It is an arithmetic number, because the mean of its divisors is an integer number (43876385280).

Almost surely, 2^{2002010021011} is an apocalyptic number.

2002010021011 is a deficient number, since it is larger than the sum of its proper divisors (806078636909).

2002010021011 is a wasteful number, since it uses less digits than its factorization.

2002010021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99416.

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

Adding to 2002010021011 its reverse (1101200102002), we get a palindrome (3103210123013).

The spelling of 2002010021011 in words is "two trillion, two billion, ten million, twenty-one thousand, eleven".