101012001007 has 2 divisors, whose sum is σ = 101012001008. Its totient is φ = 101012001006.

The previous prime is 101012000939. The next prime is 101012001037. The reversal of 101012001007 is 700100210101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101012001007 - 2⁷ = 101012000879 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012001037) 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, 50506000503 + 50506000504.

It is an arithmetic number, because the mean of its divisors is an integer number (50506000504).

Almost surely, 2^101012001007 is an apocalyptic number.

101012001007 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012001007 is an equidigital number, since it uses as much as digits as its factorization.

101012001007 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 13.

Adding to 101012001007 its reverse (700100210101), we get a palindrome (801112211108).

The spelling of 101012001007 in words is "one hundred one billion, twelve million, one thousand, seven".