2670400842101 has 2 divisors, whose sum is σ = 2670400842102. Its totient is φ = 2670400842100.

The previous prime is 2670400842089. The next prime is 2670400842103. The reversal of 2670400842101 is 1012480040762.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1615669788100 + 1054731054001 = 1271090^2 + 1027001^2 .

It is a cyclic number.

It is not a de Polignac number, because 2670400842101 - 2⁶ = 2670400842037 is a prime.

It is a Sophie Germain prime.

Together with 2670400842103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2670400842103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1335200421050 + 1335200421051.

It is an arithmetic number, because the mean of its divisors is an integer number (1335200421051).

Almost surely, 2^{2670400842101} is an apocalyptic number.

It is an amenable number.

2670400842101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2670400842101 is an equidigital number, since it uses as much as digits as its factorization.

2670400842101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 35.

Adding to 2670400842101 its reverse (1012480040762), we get a palindrome (3682880882863).

The spelling of 2670400842101 in words is "two trillion, six hundred seventy billion, four hundred million, eight hundred forty-two thousand, one hundred one".