1002112122101 has 2 divisors, whose sum is σ = 1002112122102. Its totient is φ = 1002112122100.

The previous prime is 1002112122091. The next prime is 1002112122107. The reversal of 1002112122101 is 1012212112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 991565859076 + 10546263025 = 995774^2 + 102695^2 .

It is an emirp because it is prime and its reverse (1012212112001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002112122101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002112122107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501056061050 + 501056061051.

It is an arithmetic number, because the mean of its divisors is an integer number (501056061051).

Almost surely, 2^{1002112122101} is an apocalyptic number.

It is an amenable number.

1002112122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002112122101 is an equidigital number, since it uses as much as digits as its factorization.

1002112122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1002112122101 its reverse (1012212112001), we get a palindrome (2014324234102).

It can be divided in two parts, 10021 and 12122101, that multiplied together give a palindrome (121475574121).

The spelling of 1002112122101 in words is "one trillion, two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred one".