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121121102022101 is a prime number
BaseRepresentation
bin11011100010100010110100…
…010000101100010111010101
3120212212001201212000121001022
4123202202310100230113111
5111333422004104201401
61105334133252010525
734340465551143056
oct3342426420542725
9525761655017038
10121121102022101
113565819751a795
12117020b8000a45
135277894cbaa4c
1421ca414d2672d
15e009879a771b
hex6e28b442c5d5

121121102022101 has 2 divisors, whose sum is σ = 121121102022102. Its totient is φ = 121121102022100.

The previous prime is 121121102022017. The next prime is 121121102022103. The reversal of 121121102022101 is 101220201121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98240329963876 + 22880772058225 = 9911626^2 + 4783385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121121102022101 is a prime.

Together with 121121102022103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121121102022101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121121102022103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60560551011050 + 60560551011051.

It is an arithmetic number, because the mean of its divisors is an integer number (60560551011051).

Almost surely, 2121121102022101 is an apocalyptic number.

It is an amenable number.

121121102022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121102022101 is an equidigital number, since it uses as much as digits as its factorization.

121121102022101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121121102022101 its reverse (101220201121121), we get a palindrome (222341303143222).

The spelling of 121121102022101 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred two million, twenty-two thousand, one hundred one".