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12100020212101 is a prime number
BaseRepresentation
bin1011000000010100000101…
…1010000001000110000101
31120211202021012202022211111
42300011001122001012011
53041221320133241401
641422401134205021
72356124531542303
oct260050132010605
946752235668744
1012100020212101
113945653a65618
121435094353771
1369a047458143
142db9035c1273
1515eb38cede51
hexb0141681185

12100020212101 has 2 divisors, whose sum is σ = 12100020212102. Its totient is φ = 12100020212100.

The previous prime is 12100020212099. The next prime is 12100020212113. The reversal of 12100020212101 is 10121202000121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10428856431876 + 1671163780225 = 3229374^2 + 1292735^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100020212101 - 21 = 12100020212099 is a prime.

It is a super-3 number, since 3×121000202121013 (a number of 40 digits) contains 333 as substring.

Together with 12100020212099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12100020213101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050010106050 + 6050010106051.

It is an arithmetic number, because the mean of its divisors is an integer number (6050010106051).

Almost surely, 212100020212101 is an apocalyptic number.

It is an amenable number.

12100020212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100020212101 is an equidigital number, since it uses as much as digits as its factorization.

12100020212101 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 12100020212101 its reverse (10121202000121), we get a palindrome (22221222212222).

The spelling of 12100020212101 in words is "twelve trillion, one hundred billion, twenty million, two hundred twelve thousand, one hundred one".