2101121101211 has 8 divisors (see below), whose sum is σ = 2391790028544. Its totient is φ = 1827061826920.

The previous prime is 2101121101169. The next prime is 2101121101231. The reversal of 2101121101211 is 1121011211012.

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

It is not a de Polignac number, because 2101121101211 - 2¹⁰ = 2101121100187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101121101231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4152412991 + ... + 4152413496.

It is an arithmetic number, because the mean of its divisors is an integer number (298973753568).

Almost surely, 2^{2101121101211} is an apocalyptic number.

2101121101211 is a deficient number, since it is larger than the sum of its proper divisors (290668927333).

2101121101211 is a wasteful number, since it uses less digits than its factorization.

2101121101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304826521.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2101121101211 its reverse (1121011211012), we get a palindrome (3222132312223).

It can be divided in two parts, 21011211012 and 11, that multiplied together give a palindrome (231123321132).

The spelling of 2101121101211 in words is "two trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, two hundred eleven".