Search a number
-
+
101122100020219 is a prime number
BaseRepresentation
bin10110111111100001010010…
…110110011100001111111011
3111021001011211000110122102211
4112333201102312130033323
5101223241030101121334
6555022503524235551
730204554623013515
oct2677412266341773
9437034730418384
10101122100020219
112a247707239493
12b41218283bbb7
134456a086c2c55
141ad849b454bb5
15ba5640559a64
hex5bf852d9c3fb

101122100020219 has 2 divisors, whose sum is σ = 101122100020220. Its totient is φ = 101122100020218.

The previous prime is 101122100020163. The next prime is 101122100020237. The reversal of 101122100020219 is 912020001221101.

It is a strong prime.

It is an emirp because it is prime and its reverse (912020001221101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101122100020219 is a prime.

It is a super-2 number, since 2×1011221000202192 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101122100020219.

It is not a weakly prime, because it can be changed into another prime (101122100021219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561050010109 + 50561050010110.

It is an arithmetic number, because the mean of its divisors is an integer number (50561050010110).

Almost surely, 2101122100020219 is an apocalyptic number.

101122100020219 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122100020219 is an equidigital number, since it uses as much as digits as its factorization.

101122100020219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 101122100020219 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred million, twenty thousand, two hundred nineteen".