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10122122099941 is a prime number
BaseRepresentation
bin1001001101001011110101…
…1111011111110011100101
31022211122222002111201011221
42103102331133133303211
52311320101224144231
633310012205300341
72063204423150065
oct223227537376345
938748862451157
1010122122099941
11325284a051245
12117589a2646b1
13585686b9a917
1426dcb02353a5
15128476378d11
hex934bd7dfce5

10122122099941 has 2 divisors, whose sum is σ = 10122122099942. Its totient is φ = 10122122099940.

The previous prime is 10122122099911. The next prime is 10122122099963. The reversal of 10122122099941 is 14999022122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7606266138916 + 2515855961025 = 2757946^2 + 1586145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122122099941 is a prime.

It is a super-2 number, since 2×101221220999412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122122099911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061061049970 + 5061061049971.

It is an arithmetic number, because the mean of its divisors is an integer number (5061061049971).

Almost surely, 210122122099941 is an apocalyptic number.

It is an amenable number.

10122122099941 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122122099941 is an equidigital number, since it uses as much as digits as its factorization.

10122122099941 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 10122122099941 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, ninety-nine thousand, nine hundred forty-one".