2021120201101 has 32 divisors (see below), whose sum is σ = 2133159180768. Its totient is φ = 1912940789760.

The previous prime is 2021120201083. The next prime is 2021120201213. The reversal of 2021120201101 is 1011020211202.

It can be written as a sum of positive squares in 16 ways, for example, as 316074462025 + 1705045739076 = 562205^2 + 1305774^2 .

It is a 10-Lehmer number, since φ(2021120201101) divides (2021120201101-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 2021120201101 - 2¹⁷ = 2021120070029 is a prime.

It is a super-2 number, since 2×2021120201101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021120207101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273379261 + ... + 273386653.

It is an arithmetic number, because the mean of its divisors is an integer number (66661224399).

Almost surely, 2^{2021120201101} is an apocalyptic number.

It is an amenable number.

2021120201101 is a deficient number, since it is larger than the sum of its proper divisors (112038979667).

2021120201101 is a wasteful number, since it uses less digits than its factorization.

2021120201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2021120201101 its reverse (1011020211202), we get a palindrome (3032140412303).

The spelling of 2021120201101 in words is "two trillion, twenty-one billion, one hundred twenty million, two hundred one thousand, one hundred one".