2120102012211 has 16 divisors (see below), whose sum is σ = 2962366857216. Its totient is φ = 1346146742336.

The previous prime is 2120102012183. The next prime is 2120102012233. The reversal of 2120102012211 is 1122102010212.

It is not a de Polignac number, because 2120102012211 - 2¹⁴ = 2120101995827 is a prime.

It is a super-2 number, since 2×2120102012211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120102012311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65919795 + ... + 65951948.

It is an arithmetic number, because the mean of its divisors is an integer number (185147928576).

Almost surely, 2^{2120102012211} is an apocalyptic number.

2120102012211 is a deficient number, since it is larger than the sum of its proper divisors (842264845005).

2120102012211 is a wasteful number, since it uses less digits than its factorization.

2120102012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131872002.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2120102012211 its reverse (1122102010212), we get a palindrome (3242204022423).

The spelling of 2120102012211 in words is "two trillion, one hundred twenty billion, one hundred two million, twelve thousand, two hundred eleven".