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100101221212021 is a prime number
BaseRepresentation
bin10110110000101010100001…
…101110110101111101110101
3111010102120202012212212111021
4112300222201232311331311
5101110024300112241041
6552521511032341141
730041034402223531
oct2660524156657565
9433376665785437
10100101221212021
1129993764816a07
12b2883545447b1
1343b1673965b43
141aa0cd4124bc1
15b88ce0d34cd1
hex5b0aa1bb5f75

100101221212021 has 2 divisors, whose sum is σ = 100101221212022. Its totient is φ = 100101221212020.

The previous prime is 100101221212001. The next prime is 100101221212033. The reversal of 100101221212021 is 120212122101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96966855480625 + 3134365731396 = 9847175^2 + 1770414^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100101221212021 is a prime.

It is a super-3 number, since 3×1001012212120213 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100101221211986 and 100101221212004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101221212001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050610606010 + 50050610606011.

It is an arithmetic number, because the mean of its divisors is an integer number (50050610606011).

Almost surely, 2100101221212021 is an apocalyptic number.

It is an amenable number.

100101221212021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101221212021 is an equidigital number, since it uses as much as digits as its factorization.

100101221212021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100101221212021 its reverse (120212122101001), we get a palindrome (220313343313022).

The spelling of 100101221212021 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twelve thousand, twenty-one".