2101121022211 has 8 divisors (see below), whose sum is σ = 2120609301264. Its totient is φ = 2081648432640.

The previous prime is 2101121022191. The next prime is 2101121022239. The reversal of 2101121022211 is 1122201211012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2101121022211 - 2¹⁹ = 2101120497923 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101121082211) 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 7 ways as a sum of consecutive naturals, for example, 3653206 + ... + 4189051.

It is an arithmetic number, because the mean of its divisors is an integer number (265076162658).

Almost surely, 2^{2101121022211} is an apocalyptic number.

2101121022211 is a deficient number, since it is larger than the sum of its proper divisors (19488279053).

2101121022211 is a wasteful number, since it uses less digits than its factorization.

2101121022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844741.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2101121022211 its reverse (1122201211012), we get a palindrome (3223322233223).

The spelling of 2101121022211 in words is "two trillion, one hundred one billion, one hundred twenty-one million, twenty-two thousand, two hundred eleven".