2021102011 has 16 divisors (see below), whose sum is σ = 2099776896. Its totient is φ = 1944000000.

The previous prime is 2021101993. The next prime is 2021102047. The reversal of 2021102011 is 1102011202.

It is a 9-Lehmer number, since φ(2021102011) divides (2021102011-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 2021102011 - 2¹⁵ = 2021069243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2021102711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121311 + ... + 1123111.

It is an arithmetic number, because the mean of its divisors is an integer number (131236056).

Almost surely, 2^2021102011 is an apocalyptic number.

2021102011 is a deficient number, since it is larger than the sum of its proper divisors (78674885).

2021102011 is a wasteful number, since it uses less digits than its factorization.

2021102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214.

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

The square root of 2021102011 is about 44956.6681483404. The cubic root of 2021102011 is about 1264.3367009060.

Adding to 2021102011 its reverse (1102011202), we get a palindrome (3123113213).

It can be divided in two parts, 202 and 1102011, that multiplied together give a palindrome (222606222).

The spelling of 2021102011 in words is "two billion, twenty-one million, one hundred two thousand, eleven".