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101122309997 is a prime number
BaseRepresentation
bin101111000101101011…
…0111111111101101101
3100200000101110121010122
41132023112333331231
53124044302404442
6114242134014325
710206622311212
oct1361326777555
9320011417118
10101122309997
11399819a9225
12177217a73a5
1396c71a20b7
144c74129b09
15296ca2add2
hex178b5bff6d

101122309997 has 2 divisors, whose sum is σ = 101122309998. Its totient is φ = 101122309996.

The previous prime is 101122309991. The next prime is 101122310041. The reversal of 101122309997 is 799903221101.

It is an a-pointer prime, because the next prime (101122310041) can be obtained adding 101122309997 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67901415241 + 33220894756 = 260579^2 + 182266^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101122309997 is a prime.

It is a super-2 number, since 2×1011223099972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122309991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561154998 + 50561154999.

It is an arithmetic number, because the mean of its divisors is an integer number (50561154999).

Almost surely, 2101122309997 is an apocalyptic number.

It is an amenable number.

101122309997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122309997 is an equidigital number, since it uses as much as digits as its factorization.

101122309997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61236, while the sum is 44.

The spelling of 101122309997 in words is "one hundred one billion, one hundred twenty-two million, three hundred nine thousand, nine hundred ninety-seven".