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961222022112101 is a prime number
BaseRepresentation
bin1101101010001110011111000…
…1001011011010001101100101
311200001101221001102102121002112
43122203213301023122031211
52001442130200130041401
613244203144554050405
7406315666531534331
oct33243476113321545
94601357042377075
10961222022112101
11259302a74526402
128b983326419a05
1332346b0366c489
1412d515735c07c1
15761d8cd8153bb
hex36a39f12da365

961222022112101 has 2 divisors, whose sum is σ = 961222022112102. Its totient is φ = 961222022112100.

The previous prime is 961222022112067. The next prime is 961222022112173. The reversal of 961222022112101 is 101211220222169.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 633240685947076 + 327981336165025 = 25164274^2 + 18110255^2 .

It is an emirp because it is prime and its reverse (101211220222169) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 961222022112101 - 210 = 961222022111077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (961222022112901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 480611011056050 + 480611011056051.

It is an arithmetic number, because the mean of its divisors is an integer number (480611011056051).

Almost surely, 2961222022112101 is an apocalyptic number.

It is an amenable number.

961222022112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

961222022112101 is an equidigital number, since it uses as much as digits as its factorization.

961222022112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 961222022112101 in words is "nine hundred sixty-one trillion, two hundred twenty-two billion, twenty-two million, one hundred twelve thousand, one hundred one".