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12101101122031 is a prime number
BaseRepresentation
bin1011000000011000000111…
…0101010111000111101111
31120211212001112200020111121
42300012001311113013233
53041231023341401111
641423100310001411
72356163365246225
oct260060165270757
946755045606447
1012101101122031
113946059121209
121435336346267
1369a18a38390c
142db9a6d90b15
1515eb9db63871
hexb0181d571ef

12101101122031 has 2 divisors, whose sum is σ = 12101101122032. Its totient is φ = 12101101122030.

The previous prime is 12101101122029. The next prime is 12101101122109. The reversal of 12101101122031 is 13022110110121.

It is a happy number.

12101101122031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12101101122031 - 21 = 12101101122029 is a prime.

It is a super-2 number, since 2×121011011220312 (a number of 27 digits) contains 22 as substring.

Together with 12101101122029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12101101121996 and 12101101122014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12101101122631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050550561015 + 6050550561016.

It is an arithmetic number, because the mean of its divisors is an integer number (6050550561016).

Almost surely, 212101101122031 is an apocalyptic number.

12101101122031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101101122031 is an equidigital number, since it uses as much as digits as its factorization.

12101101122031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12101101122031 its reverse (13022110110121), we get a palindrome (25123211232152).

The spelling of 12101101122031 in words is "twelve trillion, one hundred one billion, one hundred one million, one hundred twenty-two thousand, thirty-one".