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101122012222031 is a prime number
BaseRepresentation
bin10110111111100001001101…
…100111100001001001001111
3111021001011120220021000222002
4112333201031213201021033
5101223240340112101111
6555022451110342515
730204552505521233
oct2677411547411117
9437034526230862
10101122012222031
112a2476717213a9
12b41215935aa3b
1344569c3462268
141ad848d91c5c3
15ba56379b563b
hex5bf84d9e124f

101122012222031 has 2 divisors, whose sum is σ = 101122012222032. Its totient is φ = 101122012222030.

The previous prime is 101122012222003. The next prime is 101122012222073. The reversal of 101122012222031 is 130222210221101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101122012222031 is a prime.

It is a super-2 number, since 2×1011220122220312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122012221994 and 101122012222012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122012222631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561006111015 + 50561006111016.

It is an arithmetic number, because the mean of its divisors is an integer number (50561006111016).

Almost surely, 2101122012222031 is an apocalyptic number.

101122012222031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122012222031 is an equidigital number, since it uses as much as digits as its factorization.

101122012222031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101122012222031 its reverse (130222210221101), we get a palindrome (231344222443132).

The spelling of 101122012222031 in words is "one hundred one trillion, one hundred twenty-two billion, twelve million, two hundred twenty-two thousand, thirty-one".