2100110101007 has 2 divisors, whose sum is σ = 2100110101008. Its totient is φ = 2100110101006.

The previous prime is 2100110100973. The next prime is 2100110101087. The reversal of 2100110101007 is 7001010110012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2100110101007 - 2³⁶ = 2031390624271 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100110100982 and 2100110101000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100110101087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050055050503 + 1050055050504.

It is an arithmetic number, because the mean of its divisors is an integer number (1050055050504).

Almost surely, 2^{2100110101007} is an apocalyptic number.

2100110101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100110101007 is an equidigital number, since it uses as much as digits as its factorization.

2100110101007 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2100110101007 its reverse (7001010110012), we get a palindrome (9101120211019).

The spelling of 2100110101007 in words is "two trillion, one hundred billion, one hundred ten million, one hundred one thousand, seven".