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1001102120021 is a prime number
BaseRepresentation
bin11101001000101100101…
…01100001010001010101
310112201000112020220221002
432210112111201101111
5112400224120320041
62043522220433045
7132220146421643
oct16442625412125
93481015226832
101001102120021
11356624058a93
1214202b0a8785
137353270c473
143664c978193
151b0933ba59b
hexe916561455

1001102120021 has 2 divisors, whose sum is σ = 1001102120022. Its totient is φ = 1001102120020.

The previous prime is 1001102120009. The next prime is 1001102120023. The reversal of 1001102120021 is 1200212011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 700085297521 + 301016822500 = 836711^2 + 548650^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001102120021 - 222 = 1001097925717 is a prime.

Together with 1001102120023, 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 = 1001102119984 and 1001102120011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001102120023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500551060010 + 500551060011.

It is an arithmetic number, because the mean of its divisors is an integer number (500551060011).

Almost surely, 21001102120021 is an apocalyptic number.

It is an amenable number.

1001102120021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001102120021 is an equidigital number, since it uses as much as digits as its factorization.

1001102120021 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 1001102120021 its reverse (1200212011001), we get a palindrome (2201314131022).

The spelling of 1001102120021 in words is "one trillion, one billion, one hundred two million, one hundred twenty thousand, twenty-one".