2121102211122 has 12 divisors (see below), whose sum is σ = 4595721457470. Its totient is φ = 707034070368.

The previous prime is 2121102211103. The next prime is 2121102211159. The reversal of 2121102211122 is 2211122011212.

2121102211122 is a `hidden beast` number, since 212 + 110 + 221 + 1 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1111698205641 + 1009404005481 = 1054371^2 + 1004691^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 117839011729 = 2121102211122 / (2 + 1 + 2 + 1 + 1 + 0 + 2 + 2 + 1 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 2121102211095 and 2121102211104.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 58919505847 + ... + 58919505882.

Almost surely, 2^{2121102211122} is an apocalyptic number.

2121102211122 is an abundant number, since it is smaller than the sum of its proper divisors (2474619246348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121102211122 is a wasteful number, since it uses less digits than its factorization.

2121102211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117839011737 (or 117839011734 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2121102211122 its reverse (2211122011212), we get a palindrome (4332224222334).

The spelling of 2121102211122 in words is "two trillion, one hundred twenty-one billion, one hundred two million, two hundred eleven thousand, one hundred twenty-two".