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10122310333021 is a prime number
BaseRepresentation
bin1001001101001100100010…
…1101100011001001011101
31022211200110012200221102111
42103103020231203021131
52311320442421124041
633310043011554021
72063212200125425
oct223231055431135
938750405627374
1010122310333021
113252936327577
1211759312bb911
135856b6b95043
1426dccb233485
15128487b5b981
hex934c8b6325d

10122310333021 has 2 divisors, whose sum is σ = 10122310333022. Its totient is φ = 10122310333020.

The previous prime is 10122310332989. The next prime is 10122310333027. The reversal of 10122310333021 is 12033301322101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5800443544921 + 4321866788100 = 2408411^2 + 2078910^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122310333021 - 25 = 10122310332989 is a prime.

It is a super-2 number, since 2×101223103330212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122310332983 and 10122310333001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122310333027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061155166510 + 5061155166511.

It is an arithmetic number, because the mean of its divisors is an integer number (5061155166511).

Almost surely, 210122310333021 is an apocalyptic number.

It is an amenable number.

10122310333021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122310333021 is an equidigital number, since it uses as much as digits as its factorization.

10122310333021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10122310333021 its reverse (12033301322101), we get a palindrome (22155611655122).

The spelling of 10122310333021 in words is "ten trillion, one hundred twenty-two billion, three hundred ten million, three hundred thirty-three thousand, twenty-one".