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101001220102021 is a prime number
BaseRepresentation
bin10110111101110000101101…
…110110001001011110000101
3111020121121210200120120002111
4112331300231312021132011
5101214300444321231041
6554451153040141021
730163045250452111
oct2675605566113605
9436547720516074
10101001220102021
112a200416718848
12b3b2868307771
1344484b3123935
141ad26b12dc741
15ba24181e2981
hex5bdc2dd89785

101001220102021 has 2 divisors, whose sum is σ = 101001220102022. Its totient is φ = 101001220102020.

The previous prime is 101001220102019. The next prime is 101001220102073. The reversal of 101001220102021 is 120201022100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58009777452225 + 42991442649796 = 7616415^2 + 6556786^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001220102021 - 21 = 101001220102019 is a prime.

It is a super-3 number, since 3×1010012201020213 (a number of 43 digits) contains 333 as substring.

Together with 101001220102019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101001220101992 and 101001220102010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001220102421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500610051010 + 50500610051011.

It is an arithmetic number, because the mean of its divisors is an integer number (50500610051011).

Almost surely, 2101001220102021 is an apocalyptic number.

It is an amenable number.

101001220102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001220102021 is an equidigital number, since it uses as much as digits as its factorization.

101001220102021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101001220102021 its reverse (120201022100101), we get a palindrome (221202242202122).

The spelling of 101001220102021 in words is "one hundred one trillion, one billion, two hundred twenty million, one hundred two thousand, twenty-one".