2100101001007 has 2 divisors, whose sum is σ = 2100101001008. Its totient is φ = 2100101001006.

The previous prime is 2100101000971. The next prime is 2100101001077. The reversal of 2100101001007 is 7001001010012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2100101001007 - 2¹⁵ = 2100100968239 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100101001077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050500503 + 1050050500504.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050500504).

Almost surely, 2^{2100101001007} is an apocalyptic number.

2100101001007 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100101001007 is an equidigital number, since it uses as much as digits as its factorization.

2100101001007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 2100101001007 its reverse (7001001010012), we get a palindrome (9101102011019).

The spelling of 2100101001007 in words is "two trillion, one hundred billion, one hundred one million, one thousand, seven".