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100210121021 is a prime number
BaseRepresentation
bin101110101010011111…
…1010001100100111101
3100120122211000121002202
41131110333101210331
53120212242333041
6114011430401245
710145204655143
oct1352477214475
9316584017082
10100210121021
113955400113a
1217508200225
1395b01cb6ca
144bc8d19593
1529178e2a9b
hex1754fd193d

100210121021 has 2 divisors, whose sum is σ = 100210121022. Its totient is φ = 100210121020.

The previous prime is 100210120979. The next prime is 100210121023. The reversal of 100210121021 is 120121012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98981968996 + 1228152025 = 314614^2 + 35045^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100210121021 is a prime.

Together with 100210121023, 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 = 100210120993 and 100210121011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210121023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105060510 + 50105060511.

It is an arithmetic number, because the mean of its divisors is an integer number (50105060511).

Almost surely, 2100210121021 is an apocalyptic number.

It is an amenable number.

100210121021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210121021 is an equidigital number, since it uses as much as digits as its factorization.

100210121021 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 100210121021 its reverse (120121012001), we get a palindrome (220331133022).

The spelling of 100210121021 in words is "one hundred billion, two hundred ten million, one hundred twenty-one thousand, twenty-one".