Search a number
-
+
100212020010101 is a prime number
BaseRepresentation
bin10110110010010001101101…
…110110101101110001110101
3111010211011201222100222211102
4112302101231312231301311
5101113333204110310401
6553044433315215445
730052036163403416
oct2662215566556165
9433734658328742
10100212020010101
1129a2675185691a
12b2a59168a7585
1343bbc507b481c
141aa640543d80d
15b8bb2811856b
hex5b246ddadc75

100212020010101 has 2 divisors, whose sum is σ = 100212020010102. Its totient is φ = 100212020010100.

The previous prime is 100212020010083. The next prime is 100212020010169. The reversal of 100212020010101 is 101010020212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100018200828100 + 193819182001 = 10000910^2 + 440249^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212020010101 - 222 = 100212015815797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212020010001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106010005050 + 50106010005051.

It is an arithmetic number, because the mean of its divisors is an integer number (50106010005051).

Almost surely, 2100212020010101 is an apocalyptic number.

It is an amenable number.

100212020010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212020010101 is an equidigital number, since it uses as much as digits as its factorization.

100212020010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100212020010101 its reverse (101010020212001), we get a palindrome (201222040222102).

The spelling of 100212020010101 in words is "one hundred trillion, two hundred twelve billion, twenty million, ten thousand, one hundred one".