101111001001639 has 2 divisors, whose sum is σ = 101111001001640. Its totient is φ = 101111001001638.

The previous prime is 101111001001601. The next prime is 101111001001643. The reversal of 101111001001639 is 936100100111101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101111001001639 - 2¹⁵ = 101111000968871 is a prime.

It is a super-2 number, since 2×101111001001639² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111001008639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500500819 + 50555500500820.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500500820).

Almost surely, 2^{101111001001639} is an apocalyptic number.

101111001001639 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111001001639 is an equidigital number, since it uses as much as digits as its factorization.

101111001001639 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 25.

The spelling of 101111001001639 in words is "one hundred one trillion, one hundred eleven billion, one million, one thousand, six hundred thirty-nine".