2101111221121 has 16 divisors (see below), whose sum is σ = 2427008488128. Its totient is φ = 1797700377600.

The previous prime is 2101111221119. The next prime is 2101111221127. The reversal of 2101111221121 is 1211221111012.

It is a cyclic number.

It is not a de Polignac number, because 2101111221121 - 2¹ = 2101111221119 is a prime.

It is a super-3 number, since 3×2101111221121³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101111221095 and 2101111221104.

It is not an unprimeable number, because it can be changed into a prime (2101111221127) 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, 10030426 + ... + 10237756.

It is an arithmetic number, because the mean of its divisors is an integer number (151688030508).

Almost surely, 2^{2101111221121} is an apocalyptic number.

It is an amenable number.

2101111221121 is a deficient number, since it is larger than the sum of its proper divisors (325897267007).

2101111221121 is a wasteful number, since it uses less digits than its factorization.

2101111221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261552.

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

Adding to 2101111221121 its reverse (1211221111012), we get a palindrome (3312332332133).

It can be divided in two parts, 2101111 and 221121, that added together give a palindrome (2322232).

The spelling of 2101111221121 in words is "two trillion, one hundred one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty-one".