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10122113233021 is a prime number
BaseRepresentation
bin1001001101001011110011…
…1101101011000001111101
31022211122221110211020001111
42103102330331223001331
52311320041441424041
633310011251242021
72063204254610026
oct223227475530175
938748843736044
1010122113233021
113252845045409
1211758972a9311
135856850b4a1a
1426dcacda7c4d
151284756c6981
hex934bcf6b07d

10122113233021 has 2 divisors, whose sum is σ = 10122113233022. Its totient is φ = 10122113233020.

The previous prime is 10122113233019. The next prime is 10122113233061. The reversal of 10122113233021 is 12033231122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9061388325796 + 1060724907225 = 3010214^2 + 1029915^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122113233021 - 21 = 10122113233019 is a prime.

Together with 10122113233019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10122113232983 and 10122113233001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122113233061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061056616510 + 5061056616511.

It is an arithmetic number, because the mean of its divisors is an integer number (5061056616511).

Almost surely, 210122113233021 is an apocalyptic number.

It is an amenable number.

10122113233021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122113233021 is an equidigital number, since it uses as much as digits as its factorization.

10122113233021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10122113233021 its reverse (12033231122101), we get a palindrome (22155344355122).

The spelling of 10122113233021 in words is "ten trillion, one hundred twenty-two billion, one hundred thirteen million, two hundred thirty-three thousand, twenty-one".