101064631441 has 2 divisors, whose sum is σ = 101064631442. Its totient is φ = 101064631440.

The previous prime is 101064631411. The next prime is 101064631463. The reversal of 101064631441 is 144136460101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76477137025 + 24587494416 = 276545^2 + 156804^2 .

It is a cyclic number.

It is not a de Polignac number, because 101064631441 - 2²⁵ = 101031077009 is a prime.

It is not a weakly prime, because it can be changed into another prime (101064631411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50532315720 + 50532315721.

It is an arithmetic number, because the mean of its divisors is an integer number (50532315721).

Almost surely, 2^101064631441 is an apocalyptic number.

It is an amenable number.

101064631441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101064631441 is an equidigital number, since it uses as much as digits as its factorization.

101064631441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 101064631441 in words is "one hundred one billion, sixty-four million, six hundred thirty-one thousand, four hundred forty-one".