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22100000012021 is a prime number
BaseRepresentation
bin1010000011001100011101…
…01001100111011011110101
32220020201221222222022100202
411001212032221213123311
510344041300000341041
6115000333322250245
74440446413425341
oct501461651473365
986221858868322
1022100000012021
117050614951a58
12258b165356985
13c44037360149
14565907b72621
15284d120a1a9b
hex14198ea676f5

22100000012021 has 2 divisors, whose sum is σ = 22100000012022. Its totient is φ = 22100000012020.

The previous prime is 22100000012003. The next prime is 22100000012023. The reversal of 22100000012021 is 12021000000122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20685113551921 + 1414886460100 = 4548089^2 + 1189490^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22100000012021 is a prime.

It is a super-3 number, since 3×221000000120213 (a number of 41 digits) contains 333 as substring.

Together with 22100000012023, 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 = 22100000011993 and 22100000012011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100000012023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050000006010 + 11050000006011.

It is an arithmetic number, because the mean of its divisors is an integer number (11050000006011).

Almost surely, 222100000012021 is an apocalyptic number.

It is an amenable number.

22100000012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100000012021 is an equidigital number, since it uses as much as digits as its factorization.

22100000012021 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 11.

Adding to 22100000012021 its reverse (12021000000122), we get a palindrome (34121000012143).

The spelling of 22100000012021 in words is "twenty-two trillion, one hundred billion, twelve thousand, twenty-one".