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100121102021 is a prime number
BaseRepresentation
bin101110100111110101…
…1101100011011000101
3100120102121111221222202
41131033223230123011
53120022000231041
6113554530404245
710143044216423
oct1351753543305
9316377457882
10100121102021
113950882a916
12174a2430685
139597931145
144bbb186113
15290ebaba9b
hex174faec6c5

100121102021 has 2 divisors, whose sum is σ = 100121102022. Its totient is φ = 100121102020.

The previous prime is 100121101999. The next prime is 100121102023. The reversal of 100121102021 is 120201121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73596093796 + 26525008225 = 271286^2 + 162865^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121102021 - 26 = 100121101957 is a prime.

Together with 100121102023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121101993 and 100121102011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121102023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060551010 + 50060551011.

It is an arithmetic number, because the mean of its divisors is an integer number (50060551011).

Almost surely, 2100121102021 is an apocalyptic number.

It is an amenable number.

100121102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121102021 is an equidigital number, since it uses as much as digits as its factorization.

100121102021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100121102021 its reverse (120201121001), we get a palindrome (220322223022).

The spelling of 100121102021 in words is "one hundred billion, one hundred twenty-one million, one hundred two thousand, twenty-one".