101111066446631 has 2 divisors, whose sum is σ = 101111066446632. Its totient is φ = 101111066446630.

The previous prime is 101111066446601. The next prime is 101111066446651. The reversal of 101111066446631 is 136644660111101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101111066446631 - 2¹⁴ = 101111066430247 is a prime.

It is a super-2 number, since 2×101111066446631² (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 (101111066446601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555533223315 + 50555533223316.

It is an arithmetic number, because the mean of its divisors is an integer number (50555533223316).

Almost surely, 2^{101111066446631} is an apocalyptic number.

101111066446631 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111066446631 is an equidigital number, since it uses as much as digits as its factorization.

101111066446631 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 101111066446631 in words is "one hundred one trillion, one hundred eleven billion, sixty-six million, four hundred forty-six thousand, six hundred thirty-one".