1002112101301 has 2 divisors, whose sum is σ = 1002112101302. Its totient is φ = 1002112101300.

The previous prime is 1002112101269. The next prime is 1002112101313. The reversal of 1002112101301 is 1031012112001.

It is a happy number.

1002112101301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 759111412900 + 243000688401 = 871270^2 + 492951^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002112101301 - 2⁵ = 1002112101269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002110101301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501056050650 + 501056050651.

It is an arithmetic number, because the mean of its divisors is an integer number (501056050651).

Almost surely, 2^{1002112101301} is an apocalyptic number.

It is an amenable number.

1002112101301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002112101301 is an equidigital number, since it uses as much as digits as its factorization.

1002112101301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1002112101301 its reverse (1031012112001), we get a palindrome (2033124213302).

The spelling of 1002112101301 in words is "one trillion, two billion, one hundred twelve million, one hundred one thousand, three hundred one".