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122101100131 is a prime number
BaseRepresentation
bin111000110110111001…
…0101110111001100011
3102200011102202120000211
41301231302232321203
54000030340201011
6132031550154551
711551531140523
oct1615562567143
9380142676024
10122101100131
114786798480a
121b7b74b2a57
13b68b59bb9a
145ca43db683
153299688b21
hex1c6dcaee63

122101100131 has 2 divisors, whose sum is σ = 122101100132. Its totient is φ = 122101100130.

The previous prime is 122101100059. The next prime is 122101100137. The reversal of 122101100131 is 131001101221.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122101100131 is a prime.

It is a super-2 number, since 2×1221011001312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122101100137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050550065 + 61050550066.

It is an arithmetic number, because the mean of its divisors is an integer number (61050550066).

Almost surely, 2122101100131 is an apocalyptic number.

122101100131 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101100131 is an equidigital number, since it uses as much as digits as its factorization.

122101100131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 122101100131 its reverse (131001101221), we get a palindrome (253102201352).

The spelling of 122101100131 in words is "one hundred twenty-two billion, one hundred one million, one hundred thousand, one hundred thirty-one".