2100102212122 has 16 divisors (see below), whose sum is σ = 3173298134760. Its totient is φ = 1042363381248.

The previous prime is 2100102212077. The next prime is 2100102212123. The reversal of 2100102212122 is 2212122010012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1966476140721 + 133626071401 = 1402311^2 + 365549^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100102212096 and 2100102212105.

It is not an unprimeable number, because it can be changed into a prime (2100102212123) 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, 6648883 + ... + 6957574.

Almost surely, 2^{2100102212122} is an apocalyptic number.

2100102212122 is a deficient number, since it is larger than the sum of its proper divisors (1073195922638).

2100102212122 is a wasteful number, since it uses less digits than its factorization.

2100102212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13607025.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2100102212122 its reverse (2212122010012), we get a palindrome (4312224222134).

The spelling of 2100102212122 in words is "two trillion, one hundred billion, one hundred two million, two hundred twelve thousand, one hundred twenty-two".