2122102002105 has 48 divisors (see below), whose sum is σ = 3782690340624. Its totient is φ = 1099751178240.

The previous prime is 2122102002049. The next prime is 2122102002107. The reversal of 2122102002105 is 5012002012212.

It can be written as a sum of positive squares in 8 ways, for example, as 3321908496 + 2118780093609 = 57636^2 + 1455603^2 .

It is not a de Polignac number, because 2122102002105 - 2¹⁰ = 2122102001081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122102002107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429657 + ... + 2104473.

It is an arithmetic number, because the mean of its divisors is an integer number (78806048763).

Almost surely, 2^{2122102002105} is an apocalyptic number.

It is an amenable number.

2122102002105 is a deficient number, since it is larger than the sum of its proper divisors (1660588338519).

2122102002105 is a wasteful number, since it uses less digits than its factorization.

2122102002105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675626 (or 1675623 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 2122102002105 its reverse (5012002012212), we get a palindrome (7134104014317).

The spelling of 2122102002105 in words is "two trillion, one hundred twenty-two billion, one hundred two million, two thousand, one hundred five".