1002120101 has 2 divisors, whose sum is σ = 1002120102. Its totient is φ = 1002120100.

The previous prime is 1002120079. The next prime is 1002120103. The reversal of 1002120101 is 1010212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998623201 + 3496900 = 31601^2 + 1870^2 .

It is an emirp because it is prime and its reverse (1010212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002120101 - 2¹⁴ = 1002103717 is a prime.

Together with 1002120103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002120103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501060050 + 501060051.

It is an arithmetic number, because the mean of its divisors is an integer number (501060051).

Almost surely, 2^1002120101 is an apocalyptic number.

It is an amenable number.

1002120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002120101 is an equidigital number, since it uses as much as digits as its factorization.

1002120101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1002120101 is about 31656.2805932725. The cubic root of 1002120101 is about 1000.7062014954.

Adding to 1002120101 its reverse (1010212001), we get a palindrome (2012332102).

The spelling of 1002120101 in words is "one billion, two million, one hundred twenty thousand, one hundred one".